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Finding the Fourth Proportional to 529,814.36, 733,069.14 and 461,972.70

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Solution

The fourth proportional to 529,814.36, 733,069.14 and 461,972.70 is: 639,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,814.36 : 733,069.14 = 461,972.70 : x
  2. Step 2: Convert to fraction form
    529,814.36/733,069.14 = 461,972.70/x
  3. Step 3: Cross multiply
    529,814.36x = 733,069.14 × 461,972.70
  4. Step 4: Simplify right side
    529,814.36x = 338,657,929,892.48
  5. Step 5: Solve for x
    x = 338,657,929,892.48/529,814.36
  6. Step 6: Final answer
    x = 639,201.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.