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Finding the Fourth Proportional to 276,527.48, 414,799.14 and 76,862.48

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Solution

The fourth proportional to 276,527.48, 414,799.14 and 76,862.48 is: 115,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,527.48 : 414,799.14 = 76,862.48 : x
  2. Step 2: Convert to fraction form
    276,527.48/414,799.14 = 76,862.48/x
  3. Step 3: Cross multiply
    276,527.48x = 414,799.14 × 76,862.48
  4. Step 4: Simplify right side
    276,527.48x = 31,882,490,602.27
  5. Step 5: Solve for x
    x = 31,882,490,602.27/276,527.48
  6. Step 6: Final answer
    x = 115,295.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.