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Finding the Fourth Proportional to 491,882.46, 738,038.10 and 172,263.62

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Solution

The fourth proportional to 491,882.46, 738,038.10 and 172,263.62 is: 258,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,882.46 : 738,038.10 = 172,263.62 : x
  2. Step 2: Convert to fraction form
    491,882.46/738,038.10 = 172,263.62/x
  3. Step 3: Cross multiply
    491,882.46x = 738,038.10 × 172,263.62
  4. Step 4: Simplify right side
    491,882.46x = 127,137,111,113.73
  5. Step 5: Solve for x
    x = 127,137,111,113.73/491,882.46
  6. Step 6: Final answer
    x = 258,470.51

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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.