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Finding the Fourth Proportional to 309,227.72, 463,952.14 and 190,761.17

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Solution

The fourth proportional to 309,227.72, 463,952.14 and 190,761.17 is: 286,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,227.72 : 463,952.14 = 190,761.17 : x
  2. Step 2: Convert to fraction form
    309,227.72/463,952.14 = 190,761.17/x
  3. Step 3: Cross multiply
    309,227.72x = 463,952.14 × 190,761.17
  4. Step 4: Simplify right side
    309,227.72x = 88,504,050,253.74
  5. Step 5: Solve for x
    x = 88,504,050,253.74/309,227.72
  6. Step 6: Final answer
    x = 286,209.95

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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.