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Finding the Fourth Proportional to 391,097.52, 586,646.28 and 180,708.12

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Solution

The fourth proportional to 391,097.52, 586,646.28 and 180,708.12 is: 271,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,097.52 : 586,646.28 = 180,708.12 : x
  2. Step 2: Convert to fraction form
    391,097.52/586,646.28 = 180,708.12/x
  3. Step 3: Cross multiply
    391,097.52x = 586,646.28 × 180,708.12
  4. Step 4: Simplify right side
    391,097.52x = 106,011,746,363.79
  5. Step 5: Solve for x
    x = 106,011,746,363.79/391,097.52
  6. Step 6: Final answer
    x = 271,062.18

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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.