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Finding the Fourth Proportional to 314,726.46, 472,229.24 and 164,931.14

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Solution

The fourth proportional to 314,726.46, 472,229.24 and 164,931.14 is: 247,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.46 : 472,229.24 = 164,931.14 : x
  2. Step 2: Convert to fraction form
    314,726.46/472,229.24 = 164,931.14/x
  3. Step 3: Cross multiply
    314,726.46x = 472,229.24 × 164,931.14
  4. Step 4: Simplify right side
    314,726.46x = 77,885,308,487.43
  5. Step 5: Solve for x
    x = 77,885,308,487.43/314,726.46
  6. Step 6: Final answer
    x = 247,469.85

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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.