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Finding the Fourth Proportional to 537,591.16, 741,837.52 and 319,787.83

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Solution

The fourth proportional to 537,591.16, 741,837.52 and 319,787.83 is: 441,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,591.16 : 741,837.52 = 319,787.83 : x
  2. Step 2: Convert to fraction form
    537,591.16/741,837.52 = 319,787.83/x
  3. Step 3: Cross multiply
    537,591.16x = 741,837.52 × 319,787.83
  4. Step 4: Simplify right side
    537,591.16x = 237,230,610,733.38
  5. Step 5: Solve for x
    x = 237,230,610,733.38/537,591.16
  6. Step 6: Final answer
    x = 441,284.43

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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.