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Finding the Fourth Proportional to 491,284.80, 736,927.56 and 136,299.15

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Solution

The fourth proportional to 491,284.80, 736,927.56 and 136,299.15 is: 204,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,284.80 : 736,927.56 = 136,299.15 : x
  2. Step 2: Convert to fraction form
    491,284.80/736,927.56 = 136,299.15/x
  3. Step 3: Cross multiply
    491,284.80x = 736,927.56 × 136,299.15
  4. Step 4: Simplify right side
    491,284.80x = 100,442,600,039.57
  5. Step 5: Solve for x
    x = 100,442,600,039.57/491,284.80
  6. Step 6: Final answer
    x = 204,448.82

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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.