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Finding the Fourth Proportional to 531,217.50, 733,080.15 and 292,753.50

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Solution

The fourth proportional to 531,217.50, 733,080.15 and 292,753.50 is: 403,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,217.50 : 733,080.15 = 292,753.50 : x
  2. Step 2: Convert to fraction form
    531,217.50/733,080.15 = 292,753.50/x
  3. Step 3: Cross multiply
    531,217.50x = 733,080.15 × 292,753.50
  4. Step 4: Simplify right side
    531,217.50x = 214,611,779,693.03
  5. Step 5: Solve for x
    x = 214,611,779,693.03/531,217.50
  6. Step 6: Final answer
    x = 403,999.83

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Why These Related Problems?

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