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Finding the Fourth Proportional to 546,920.10, 820,380.15 and 406,952.10

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Solution

The fourth proportional to 546,920.10, 820,380.15 and 406,952.10 is: 610,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,920.10 : 820,380.15 = 406,952.10 : x
  2. Step 2: Convert to fraction form
    546,920.10/820,380.15 = 406,952.10/x
  3. Step 3: Cross multiply
    546,920.10x = 820,380.15 × 406,952.10
  4. Step 4: Simplify right side
    546,920.10x = 333,855,424,840.82
  5. Step 5: Solve for x
    x = 333,855,424,840.82/546,920.10
  6. Step 6: Final answer
    x = 610,428.15

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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.