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Finding the Fourth Proportional to 442,898.40, 664,347.60 and 162,379.20

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Solution

The fourth proportional to 442,898.40, 664,347.60 and 162,379.20 is: 243,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,898.40 : 664,347.60 = 162,379.20 : x
  2. Step 2: Convert to fraction form
    442,898.40/664,347.60 = 162,379.20/x
  3. Step 3: Cross multiply
    442,898.40x = 664,347.60 × 162,379.20
  4. Step 4: Simplify right side
    442,898.40x = 107,876,231,809.92
  5. Step 5: Solve for x
    x = 107,876,231,809.92/442,898.40
  6. Step 6: Final answer
    x = 243,568.80

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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.