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Finding the Fourth Proportional to 546,942.20, 820,413.30 and 473,214.20

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Solution

The fourth proportional to 546,942.20, 820,413.30 and 473,214.20 is: 709,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,942.20 : 820,413.30 = 473,214.20 : x
  2. Step 2: Convert to fraction form
    546,942.20/820,413.30 = 473,214.20/x
  3. Step 3: Cross multiply
    546,942.20x = 820,413.30 × 473,214.20
  4. Step 4: Simplify right side
    546,942.20x = 388,231,223,428.86
  5. Step 5: Solve for x
    x = 388,231,223,428.86/546,942.20
  6. Step 6: Final answer
    x = 709,821.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.