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Finding the Fourth Proportional to 442,287.85, 663,038.99 and 172,353.46

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Solution

The fourth proportional to 442,287.85, 663,038.99 and 172,353.46 is: 258,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,287.85 : 663,038.99 = 172,353.46 : x
  2. Step 2: Convert to fraction form
    442,287.85/663,038.99 = 172,353.46/x
  3. Step 3: Cross multiply
    442,287.85x = 663,038.99 × 172,353.46
  4. Step 4: Simplify right side
    442,287.85x = 114,277,063,179.64
  5. Step 5: Solve for x
    x = 114,277,063,179.64/442,287.85
  6. Step 6: Final answer
    x = 258,377.13

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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.