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Finding the Fourth Proportional to 531,699.92, 733,720 and 316,835.20

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Solution

The fourth proportional to 531,699.92, 733,720 and 316,835.20 is: 437,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,699.92 : 733,720 = 316,835.20 : x
  2. Step 2: Convert to fraction form
    531,699.92/733,720 = 316,835.20/x
  3. Step 3: Cross multiply
    531,699.92x = 733,720 × 316,835.20
  4. Step 4: Simplify right side
    531,699.92x = 232,468,322,944
  5. Step 5: Solve for x
    x = 232,468,322,944/531,699.92
  6. Step 6: Final answer
    x = 437,217.15

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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.