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Finding the Fourth Proportional to 468,966.38, 647,174.16 and 254,106.27

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Solution

The fourth proportional to 468,966.38, 647,174.16 and 254,106.27 is: 350,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,966.38 : 647,174.16 = 254,106.27 : x
  2. Step 2: Convert to fraction form
    468,966.38/647,174.16 = 254,106.27/x
  3. Step 3: Cross multiply
    468,966.38x = 647,174.16 × 254,106.27
  4. Step 4: Simplify right side
    468,966.38x = 164,451,011,837.98
  5. Step 5: Solve for x
    x = 164,451,011,837.98/468,966.38
  6. Step 6: Final answer
    x = 350,666.96

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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.