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Finding the Fourth Proportional to 442,797.85, 664,147.54 and 158,476.90

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Solution

The fourth proportional to 442,797.85, 664,147.54 and 158,476.90 is: 237,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,797.85 : 664,147.54 = 158,476.90 : x
  2. Step 2: Convert to fraction form
    442,797.85/664,147.54 = 158,476.90/x
  3. Step 3: Cross multiply
    442,797.85x = 664,147.54 × 158,476.90
  4. Step 4: Simplify right side
    442,797.85x = 105,252,043,281.83
  5. Step 5: Solve for x
    x = 105,252,043,281.83/442,797.85
  6. Step 6: Final answer
    x = 237,697.73

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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.