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Finding the Fourth Proportional to 468,988.92, 647,206.97 and 254,129.38

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Solution

The fourth proportional to 468,988.92, 647,206.97 and 254,129.38 is: 350,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,988.92 : 647,206.97 = 254,129.38 : x
  2. Step 2: Convert to fraction form
    468,988.92/647,206.97 = 254,129.38/x
  3. Step 3: Cross multiply
    468,988.92x = 647,206.97 × 254,129.38
  4. Step 4: Simplify right side
    468,988.92x = 164,474,306,017.78
  5. Step 5: Solve for x
    x = 164,474,306,017.78/468,988.92
  6. Step 6: Final answer
    x = 350,699.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.