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Finding the Fourth Proportional to 403,208.20, 604,229.10 and 178,384.60

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Solution

The fourth proportional to 403,208.20, 604,229.10 and 178,384.60 is: 267,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,208.20 : 604,229.10 = 178,384.60 : x
  2. Step 2: Convert to fraction form
    403,208.20/604,229.10 = 178,384.60/x
  3. Step 3: Cross multiply
    403,208.20x = 604,229.10 × 178,384.60
  4. Step 4: Simplify right side
    403,208.20x = 107,785,166,311.86
  5. Step 5: Solve for x
    x = 107,785,166,311.86/403,208.20
  6. Step 6: Final answer
    x = 267,318.88

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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.