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Finding the Fourth Proportional to 546,944.20, 820,416.30 and 473,216.20

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Solution

The fourth proportional to 546,944.20, 820,416.30 and 473,216.20 is: 709,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,944.20 : 820,416.30 = 473,216.20 : x
  2. Step 2: Convert to fraction form
    546,944.20/820,416.30 = 473,216.20/x
  3. Step 3: Cross multiply
    546,944.20x = 820,416.30 × 473,216.20
  4. Step 4: Simplify right side
    546,944.20x = 388,234,283,904.06
  5. Step 5: Solve for x
    x = 388,234,283,904.06/546,944.20
  6. Step 6: Final answer
    x = 709,824.30

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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.