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Finding the Fourth Proportional to 304,844.64, 457,267.01 and 127,254.78

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Solution

The fourth proportional to 304,844.64, 457,267.01 and 127,254.78 is: 190,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,844.64 : 457,267.01 = 127,254.78 : x
  2. Step 2: Convert to fraction form
    304,844.64/457,267.01 = 127,254.78/x
  3. Step 3: Cross multiply
    304,844.64x = 457,267.01 × 127,254.78
  4. Step 4: Simplify right side
    304,844.64x = 58,189,412,122.53
  5. Step 5: Solve for x
    x = 58,189,412,122.53/304,844.64
  6. Step 6: Final answer
    x = 190,882.19

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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.