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Finding the Fourth Proportional to 442,497.60, 664,005.60 and 162,043.20

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Solution

The fourth proportional to 442,497.60, 664,005.60 and 162,043.20 is: 243,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,497.60 : 664,005.60 = 162,043.20 : x
  2. Step 2: Convert to fraction form
    442,497.60/664,005.60 = 162,043.20/x
  3. Step 3: Cross multiply
    442,497.60x = 664,005.60 × 162,043.20
  4. Step 4: Simplify right side
    442,497.60x = 107,597,592,241.92
  5. Step 5: Solve for x
    x = 107,597,592,241.92/442,497.60
  6. Step 6: Final answer
    x = 243,159.72

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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.