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Finding the Fourth Proportional to 474,861.20, 712,291.80 and 142,437.20

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Solution

The fourth proportional to 474,861.20, 712,291.80 and 142,437.20 is: 213,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,861.20 : 712,291.80 = 142,437.20 : x
  2. Step 2: Convert to fraction form
    474,861.20/712,291.80 = 142,437.20/x
  3. Step 3: Cross multiply
    474,861.20x = 712,291.80 × 142,437.20
  4. Step 4: Simplify right side
    474,861.20x = 101,456,846,013.50
  5. Step 5: Solve for x
    x = 101,456,846,013.50/474,861.20
  6. Step 6: Final answer
    x = 213,655.79

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Similar ratio
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1.5x scale

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.