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Finding the Fourth Proportional to 492,064.90, 738,097.35 and 448,519.30

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Solution

The fourth proportional to 492,064.90, 738,097.35 and 448,519.30 is: 672,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,064.90 : 738,097.35 = 448,519.30 : x
  2. Step 2: Convert to fraction form
    492,064.90/738,097.35 = 448,519.30/x
  3. Step 3: Cross multiply
    492,064.90x = 738,097.35 × 448,519.30
  4. Step 4: Simplify right side
    492,064.90x = 331,050,906,753.86
  5. Step 5: Solve for x
    x = 331,050,906,753.86/492,064.90
  6. Step 6: Final answer
    x = 672,778.95

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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.