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Finding the Fourth Proportional to 442,616.70, 664,011.45 and 176,331.90

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Solution

The fourth proportional to 442,616.70, 664,011.45 and 176,331.90 is: 264,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,616.70 : 664,011.45 = 176,331.90 : x
  2. Step 2: Convert to fraction form
    442,616.70/664,011.45 = 176,331.90/x
  3. Step 3: Cross multiply
    442,616.70x = 664,011.45 × 176,331.90
  4. Step 4: Simplify right side
    442,616.70x = 117,086,400,600.26
  5. Step 5: Solve for x
    x = 117,086,400,600.26/442,616.70
  6. Step 6: Final answer
    x = 264,532.27

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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.