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Finding the Fourth Proportional to 302,721.56, 417,755.86 and 175,470.97

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Solution

The fourth proportional to 302,721.56, 417,755.86 and 175,470.97 is: 242,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721.56 : 417,755.86 = 175,470.97 : x
  2. Step 2: Convert to fraction form
    302,721.56/417,755.86 = 175,470.97/x
  3. Step 3: Cross multiply
    302,721.56x = 417,755.86 × 175,470.97
  4. Step 4: Simplify right side
    302,721.56x = 73,304,025,977.38
  5. Step 5: Solve for x
    x = 73,304,025,977.38/302,721.56
  6. Step 6: Final answer
    x = 242,150.00

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Why These Related Problems?

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