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Finding the Fourth Proportional to 458,475.20, 687,712.80 and 281,182.40

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Solution

The fourth proportional to 458,475.20, 687,712.80 and 281,182.40 is: 421,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,475.20 : 687,712.80 = 281,182.40 : x
  2. Step 2: Convert to fraction form
    458,475.20/687,712.80 = 281,182.40/x
  3. Step 3: Cross multiply
    458,475.20x = 687,712.80 × 281,182.40
  4. Step 4: Simplify right side
    458,475.20x = 193,372,735,614.72
  5. Step 5: Solve for x
    x = 193,372,735,614.72/458,475.20
  6. Step 6: Final answer
    x = 421,773.60

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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.