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Finding the Fourth Proportional to 537,559.38, 741,977.66 and 316,989.30

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Solution

The fourth proportional to 537,559.38, 741,977.66 and 316,989.30 is: 437,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,559.38 : 741,977.66 = 316,989.30 : x
  2. Step 2: Convert to fraction form
    537,559.38/741,977.66 = 316,989.30/x
  3. Step 3: Cross multiply
    537,559.38x = 741,977.66 × 316,989.30
  4. Step 4: Simplify right side
    537,559.38x = 235,198,979,059.04
  5. Step 5: Solve for x
    x = 235,198,979,059.04/537,559.38
  6. Step 6: Final answer
    x = 437,531.16

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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.