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Finding the Fourth Proportional to 509,177.43, 763,864.47 and 193,609.71

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Solution

The fourth proportional to 509,177.43, 763,864.47 and 193,609.71 is: 290,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,177.43 : 763,864.47 = 193,609.71 : x
  2. Step 2: Convert to fraction form
    509,177.43/763,864.47 = 193,609.71/x
  3. Step 3: Cross multiply
    509,177.43x = 763,864.47 × 193,609.71
  4. Step 4: Simplify right side
    509,177.43x = 147,891,578,516.00
  5. Step 5: Solve for x
    x = 147,891,578,516.00/509,177.43
  6. Step 6: Final answer
    x = 290,451.95

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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.