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Finding the Fourth Proportional to 477,411.17, 715,963.46 and 157,491.14

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Solution

The fourth proportional to 477,411.17, 715,963.46 and 157,491.14 is: 236,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,411.17 : 715,963.46 = 157,491.14 : x
  2. Step 2: Convert to fraction form
    477,411.17/715,963.46 = 157,491.14/x
  3. Step 3: Cross multiply
    477,411.17x = 715,963.46 × 157,491.14
  4. Step 4: Simplify right side
    477,411.17x = 112,757,897,146.47
  5. Step 5: Solve for x
    x = 112,757,897,146.47/477,411.17
  6. Step 6: Final answer
    x = 236,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.