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Finding the Fourth Proportional to 442,922.70, 664,254.45 and 158,580.30

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Solution

The fourth proportional to 442,922.70, 664,254.45 and 158,580.30 is: 237,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,922.70 : 664,254.45 = 158,580.30 : x
  2. Step 2: Convert to fraction form
    442,922.70/664,254.45 = 158,580.30/x
  3. Step 3: Cross multiply
    442,922.70x = 664,254.45 × 158,580.30
  4. Step 4: Simplify right side
    442,922.70x = 105,337,669,957.34
  5. Step 5: Solve for x
    x = 105,337,669,957.34/442,922.70
  6. Step 6: Final answer
    x = 237,824.05

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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.