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Finding the Fourth Proportional to 488,237.70, 732,356.55 and 409,505.70

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Solution

The fourth proportional to 488,237.70, 732,356.55 and 409,505.70 is: 614,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,237.70 : 732,356.55 = 409,505.70 : x
  2. Step 2: Convert to fraction form
    488,237.70/732,356.55 = 409,505.70/x
  3. Step 3: Cross multiply
    488,237.70x = 732,356.55 × 409,505.70
  4. Step 4: Simplify right side
    488,237.70x = 299,904,181,657.34
  5. Step 5: Solve for x
    x = 299,904,181,657.34/488,237.70
  6. Step 6: Final answer
    x = 614,258.55

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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.