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Finding the Fourth Proportional to 461,265.17, 691,897.68 and 141,417.90

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Solution

The fourth proportional to 461,265.17, 691,897.68 and 141,417.90 is: 212,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,265.17 : 691,897.68 = 141,417.90 : x
  2. Step 2: Convert to fraction form
    461,265.17/691,897.68 = 141,417.90/x
  3. Step 3: Cross multiply
    461,265.17x = 691,897.68 × 141,417.90
  4. Step 4: Simplify right side
    461,265.17x = 97,846,716,920.47
  5. Step 5: Solve for x
    x = 97,846,716,920.47/461,265.17
  6. Step 6: Final answer
    x = 212,126.83

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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.