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Finding the Fourth Proportional to 411,785.87, 617,434.59 and 127,392.17

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Solution

The fourth proportional to 411,785.87, 617,434.59 and 127,392.17 is: 191,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,785.87 : 617,434.59 = 127,392.17 : x
  2. Step 2: Convert to fraction form
    411,785.87/617,434.59 = 127,392.17/x
  3. Step 3: Cross multiply
    411,785.87x = 617,434.59 × 127,392.17
  4. Step 4: Simplify right side
    411,785.87x = 78,656,332,253.16
  5. Step 5: Solve for x
    x = 78,656,332,253.16/411,785.87
  6. Step 6: Final answer
    x = 191,012.70

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