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Finding the Fourth Proportional to 491,891.78, 736,171.16 and 302,472.14

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Solution

The fourth proportional to 491,891.78, 736,171.16 and 302,472.14 is: 452,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,891.78 : 736,171.16 = 302,472.14 : x
  2. Step 2: Convert to fraction form
    491,891.78/736,171.16 = 302,472.14/x
  3. Step 3: Cross multiply
    491,891.78x = 736,171.16 × 302,472.14
  4. Step 4: Simplify right side
    491,891.78x = 222,671,260,978.27
  5. Step 5: Solve for x
    x = 222,671,260,978.27/491,891.78
  6. Step 6: Final answer
    x = 452,683.43

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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.