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Finding the Fourth Proportional to 302,689.71, 417,711.78 and 175,439.13

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Solution

The fourth proportional to 302,689.71, 417,711.78 and 175,439.13 is: 242,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,689.71 : 417,711.78 = 175,439.13 : x
  2. Step 2: Convert to fraction form
    302,689.71/417,711.78 = 175,439.13/x
  3. Step 3: Cross multiply
    302,689.71x = 417,711.78 × 175,439.13
  4. Step 4: Simplify right side
    302,689.71x = 73,282,991,273.95
  5. Step 5: Solve for x
    x = 73,282,991,273.95/302,689.71
  6. Step 6: Final answer
    x = 242,105.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.