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Finding the Fourth Proportional to 376,463.10, 564,694.65 and 127,145.10

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Solution

The fourth proportional to 376,463.10, 564,694.65 and 127,145.10 is: 190,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,463.10 : 564,694.65 = 127,145.10 : x
  2. Step 2: Convert to fraction form
    376,463.10/564,694.65 = 127,145.10/x
  3. Step 3: Cross multiply
    376,463.10x = 564,694.65 × 127,145.10
  4. Step 4: Simplify right side
    376,463.10x = 71,798,157,743.72
  5. Step 5: Solve for x
    x = 71,798,157,743.72/376,463.10
  6. Step 6: Final answer
    x = 190,717.65

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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.