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Finding the Fourth Proportional to 472,454.38, 652,252.35 and 327,470.86

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Solution

The fourth proportional to 472,454.38, 652,252.35 and 327,470.86 is: 452,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,454.38 : 652,252.35 = 327,470.86 : x
  2. Step 2: Convert to fraction form
    472,454.38/652,252.35 = 327,470.86/x
  3. Step 3: Cross multiply
    472,454.38x = 652,252.35 × 327,470.86
  4. Step 4: Simplify right side
    472,454.38x = 213,593,637,588.91
  5. Step 5: Solve for x
    x = 213,593,637,588.91/472,454.38
  6. Step 6: Final answer
    x = 452,093.68

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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.