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Finding the Fourth Proportional to 491,891.84, 736,171.25 and 302,472.20

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Solution

The fourth proportional to 491,891.84, 736,171.25 and 302,472.20 is: 452,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,891.84 : 736,171.25 = 302,472.20 : x
  2. Step 2: Convert to fraction form
    491,891.84/736,171.25 = 302,472.20/x
  3. Step 3: Cross multiply
    491,891.84x = 736,171.25 × 302,472.20
  4. Step 4: Simplify right side
    491,891.84x = 222,671,337,564.25
  5. Step 5: Solve for x
    x = 222,671,337,564.25/491,891.84
  6. Step 6: Final answer
    x = 452,683.54

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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.