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Finding the Fourth Proportional to 393,115.20, 589,818.60 and 156,627.60

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Solution

The fourth proportional to 393,115.20, 589,818.60 and 156,627.60 is: 234,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,115.20 : 589,818.60 = 156,627.60 : x
  2. Step 2: Convert to fraction form
    393,115.20/589,818.60 = 156,627.60/x
  3. Step 3: Cross multiply
    393,115.20x = 589,818.60 × 156,627.60
  4. Step 4: Simplify right side
    393,115.20x = 92,381,871,753.36
  5. Step 5: Solve for x
    x = 92,381,871,753.36/393,115.20
  6. Step 6: Final answer
    x = 234,999.49

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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.