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Finding the Fourth Proportional to 491,423.74, 737,053.38 and 136,473.64

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Solution

The fourth proportional to 491,423.74, 737,053.38 and 136,473.64 is: 204,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,423.74 : 737,053.38 = 136,473.64 : x
  2. Step 2: Convert to fraction form
    491,423.74/737,053.38 = 136,473.64/x
  3. Step 3: Cross multiply
    491,423.74x = 737,053.38 × 136,473.64
  4. Step 4: Simplify right side
    491,423.74x = 100,588,357,642.90
  5. Step 5: Solve for x
    x = 100,588,357,642.90/491,423.74
  6. Step 6: Final answer
    x = 204,687.62

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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.