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Finding the Fourth Proportional to 442,971.20, 664,456.80 and 162,597.80

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Solution

The fourth proportional to 442,971.20, 664,456.80 and 162,597.80 is: 243,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,971.20 : 664,456.80 = 162,597.80 : x
  2. Step 2: Convert to fraction form
    442,971.20/664,456.80 = 162,597.80/x
  3. Step 3: Cross multiply
    442,971.20x = 664,456.80 × 162,597.80
  4. Step 4: Simplify right side
    442,971.20x = 108,039,213,875.04
  5. Step 5: Solve for x
    x = 108,039,213,875.04/442,971.20
  6. Step 6: Final answer
    x = 243,896.70

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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.