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Finding the Fourth Proportional to 276,065.07, 413,675.22 and 185,773.40

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Solution

The fourth proportional to 276,065.07, 413,675.22 and 185,773.40 is: 278,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065.07 : 413,675.22 = 185,773.40 : x
  2. Step 2: Convert to fraction form
    276,065.07/413,675.22 = 185,773.40/x
  3. Step 3: Cross multiply
    276,065.07x = 413,675.22 × 185,773.40
  4. Step 4: Simplify right side
    276,065.07x = 76,849,852,115.15
  5. Step 5: Solve for x
    x = 76,849,852,115.15/276,065.07
  6. Step 6: Final answer
    x = 278,375.86

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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.