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Finding the Fourth Proportional to 442,912.18, 664,046.40 and 176,592.82

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Solution

The fourth proportional to 442,912.18, 664,046.40 and 176,592.82 is: 264,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.18 : 664,046.40 = 176,592.82 : x
  2. Step 2: Convert to fraction form
    442,912.18/664,046.40 = 176,592.82/x
  3. Step 3: Cross multiply
    442,912.18x = 664,046.40 × 176,592.82
  4. Step 4: Simplify right side
    442,912.18x = 117,265,826,386.85
  5. Step 5: Solve for x
    x = 117,265,826,386.85/442,912.18
  6. Step 6: Final answer
    x = 264,760.90

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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.