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Finding the Fourth Proportional to 431,134.46, 594,983.90 and 240,147.94

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Solution

The fourth proportional to 431,134.46, 594,983.90 and 240,147.94 is: 331,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,134.46 : 594,983.90 = 240,147.94 : x
  2. Step 2: Convert to fraction form
    431,134.46/594,983.90 = 240,147.94/x
  3. Step 3: Cross multiply
    431,134.46x = 594,983.90 × 240,147.94
  4. Step 4: Simplify right side
    431,134.46x = 142,884,157,918.17
  5. Step 5: Solve for x
    x = 142,884,157,918.17/431,134.46
  6. Step 6: Final answer
    x = 331,414.38

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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.