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Finding the Fourth Proportional to 442,972.60, 664,458.90 and 293,381.80

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Solution

The fourth proportional to 442,972.60, 664,458.90 and 293,381.80 is: 440,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,972.60 : 664,458.90 = 293,381.80 : x
  2. Step 2: Convert to fraction form
    442,972.60/664,458.90 = 293,381.80/x
  3. Step 3: Cross multiply
    442,972.60x = 664,458.90 × 293,381.80
  4. Step 4: Simplify right side
    442,972.60x = 194,940,148,108.02
  5. Step 5: Solve for x
    x = 194,940,148,108.02/442,972.60
  6. Step 6: Final answer
    x = 440,072.70

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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.