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Finding the Fourth Proportional to 409,652.28, 614,056.20 and 156,863.72

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Solution

The fourth proportional to 409,652.28, 614,056.20 and 156,863.72 is: 235,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,652.28 : 614,056.20 = 156,863.72 : x
  2. Step 2: Convert to fraction form
    409,652.28/614,056.20 = 156,863.72/x
  3. Step 3: Cross multiply
    409,652.28x = 614,056.20 × 156,863.72
  4. Step 4: Simplify right side
    409,652.28x = 96,323,139,821.06
  5. Step 5: Solve for x
    x = 96,323,139,821.06/409,652.28
  6. Step 6: Final answer
    x = 235,133.90

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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.