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Finding the Fourth Proportional to 531,704.92, 733,726.90 and 316,840.20

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Solution

The fourth proportional to 531,704.92, 733,726.90 and 316,840.20 is: 437,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,704.92 : 733,726.90 = 316,840.20 : x
  2. Step 2: Convert to fraction form
    531,704.92/733,726.90 = 316,840.20/x
  3. Step 3: Cross multiply
    531,704.92x = 733,726.90 × 316,840.20
  4. Step 4: Simplify right side
    531,704.92x = 232,474,177,741.38
  5. Step 5: Solve for x
    x = 232,474,177,741.38/531,704.92
  6. Step 6: Final answer
    x = 437,224.05

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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.