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Finding the Fourth Proportional to 466,098.40, 699,201.60 and 150,587.20

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Solution

The fourth proportional to 466,098.40, 699,201.60 and 150,587.20 is: 225,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,098.40 : 699,201.60 = 150,587.20 : x
  2. Step 2: Convert to fraction form
    466,098.40/699,201.60 = 150,587.20/x
  3. Step 3: Cross multiply
    466,098.40x = 699,201.60 × 150,587.20
  4. Step 4: Simplify right side
    466,098.40x = 105,290,811,179.52
  5. Step 5: Solve for x
    x = 105,290,811,179.52/466,098.40
  6. Step 6: Final answer
    x = 225,898.25

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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.