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Finding the Fourth Proportional to 537,807.56, 742,146.24 and 296,042.90

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Solution

The fourth proportional to 537,807.56, 742,146.24 and 296,042.90 is: 408,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,807.56 : 742,146.24 = 296,042.90 : x
  2. Step 2: Convert to fraction form
    537,807.56/742,146.24 = 296,042.90/x
  3. Step 3: Cross multiply
    537,807.56x = 742,146.24 × 296,042.90
  4. Step 4: Simplify right side
    537,807.56x = 219,707,125,113.70
  5. Step 5: Solve for x
    x = 219,707,125,113.70/537,807.56
  6. Step 6: Final answer
    x = 408,523.68

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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.