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Finding the Fourth Proportional to 276,064.44, 413,674.28 and 185,772.78

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Solution

The fourth proportional to 276,064.44, 413,674.28 and 185,772.78 is: 278,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.44 : 413,674.28 = 185,772.78 : x
  2. Step 2: Convert to fraction form
    276,064.44/413,674.28 = 185,772.78/x
  3. Step 3: Cross multiply
    276,064.44x = 413,674.28 × 185,772.78
  4. Step 4: Simplify right side
    276,064.44x = 76,849,421,010.10
  5. Step 5: Solve for x
    x = 76,849,421,010.10/276,064.44
  6. Step 6: Final answer
    x = 278,374.94

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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.