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Finding the Fourth Proportional to 442,627.20, 664,027.20 and 176,342.40

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Solution

The fourth proportional to 442,627.20, 664,027.20 and 176,342.40 is: 264,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,627.20 : 664,027.20 = 176,342.40 : x
  2. Step 2: Convert to fraction form
    442,627.20/664,027.20 = 176,342.40/x
  3. Step 3: Cross multiply
    442,627.20x = 664,027.20 × 176,342.40
  4. Step 4: Simplify right side
    442,627.20x = 117,096,150,113.28
  5. Step 5: Solve for x
    x = 117,096,150,113.28/442,627.20
  6. Step 6: Final answer
    x = 264,548.02

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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.