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Finding the Fourth Proportional to 261,603.10, 391,627.05 and 172,956.70

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Solution

The fourth proportional to 261,603.10, 391,627.05 and 172,956.70 is: 258,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,603.10 : 391,627.05 = 172,956.70 : x
  2. Step 2: Convert to fraction form
    261,603.10/391,627.05 = 172,956.70/x
  3. Step 3: Cross multiply
    261,603.10x = 391,627.05 × 172,956.70
  4. Step 4: Simplify right side
    261,603.10x = 67,734,522,198.74
  5. Step 5: Solve for x
    x = 67,734,522,198.74/261,603.10
  6. Step 6: Final answer
    x = 258,920.95

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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.