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Finding the Fourth Proportional to 381,862.64, 572,793.95 and 97,553.81

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Solution

The fourth proportional to 381,862.64, 572,793.95 and 97,553.81 is: 146,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,862.64 : 572,793.95 = 97,553.81 : x
  2. Step 2: Convert to fraction form
    381,862.64/572,793.95 = 97,553.81/x
  3. Step 3: Cross multiply
    381,862.64x = 572,793.95 × 97,553.81
  4. Step 4: Simplify right side
    381,862.64x = 55,878,233,406.28
  5. Step 5: Solve for x
    x = 55,878,233,406.28/381,862.64
  6. Step 6: Final answer
    x = 146,330.71

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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.