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Finding the Fourth Proportional to 537,784.56, 742,131 and 296,057.88

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Solution

The fourth proportional to 537,784.56, 742,131 and 296,057.88 is: 408,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,784.56 : 742,131 = 296,057.88 : x
  2. Step 2: Convert to fraction form
    537,784.56/742,131 = 296,057.88/x
  3. Step 3: Cross multiply
    537,784.56x = 742,131 × 296,057.88
  4. Step 4: Simplify right side
    537,784.56x = 219,713,730,542.28
  5. Step 5: Solve for x
    x = 219,713,730,542.28/537,784.56
  6. Step 6: Final answer
    x = 408,553.44

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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.