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Finding the Fourth Proportional to 504,218.28, 756,312.09 and 204,691.62

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Solution

The fourth proportional to 504,218.28, 756,312.09 and 204,691.62 is: 307,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,218.28 : 756,312.09 = 204,691.62 : x
  2. Step 2: Convert to fraction form
    504,218.28/756,312.09 = 204,691.62/x
  3. Step 3: Cross multiply
    504,218.28x = 756,312.09 × 204,691.62
  4. Step 4: Simplify right side
    504,218.28x = 154,810,746,927.69
  5. Step 5: Solve for x
    x = 154,810,746,927.69/504,218.28
  6. Step 6: Final answer
    x = 307,031.21

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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.