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Finding the Fourth Proportional to 442,894.80, 664,147.80 and 176,566.80

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Solution

The fourth proportional to 442,894.80, 664,147.80 and 176,566.80 is: 264,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,894.80 : 664,147.80 = 176,566.80 : x
  2. Step 2: Convert to fraction form
    442,894.80/664,147.80 = 176,566.80/x
  3. Step 3: Cross multiply
    442,894.80x = 664,147.80 × 176,566.80
  4. Step 4: Simplify right side
    442,894.80x = 117,266,451,773.04
  5. Step 5: Solve for x
    x = 117,266,451,773.04/442,894.80
  6. Step 6: Final answer
    x = 264,772.70

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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.