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Finding the Fourth Proportional to 312,864.38, 431,726.27 and 176,879.45

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Solution

The fourth proportional to 312,864.38, 431,726.27 and 176,879.45 is: 244,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,864.38 : 431,726.27 = 176,879.45 : x
  2. Step 2: Convert to fraction form
    312,864.38/431,726.27 = 176,879.45/x
  3. Step 3: Cross multiply
    312,864.38x = 431,726.27 × 176,879.45
  4. Step 4: Simplify right side
    312,864.38x = 76,363,506,378.02
  5. Step 5: Solve for x
    x = 76,363,506,378.02/312,864.38
  6. Step 6: Final answer
    x = 244,078.62

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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.