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Finding the Fourth Proportional to 276,259.57, 414,348.29 and 76,559.13

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Solution

The fourth proportional to 276,259.57, 414,348.29 and 76,559.13 is: 114,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,259.57 : 414,348.29 = 76,559.13 : x
  2. Step 2: Convert to fraction form
    276,259.57/414,348.29 = 76,559.13/x
  3. Step 3: Cross multiply
    276,259.57x = 414,348.29 × 76,559.13
  4. Step 4: Simplify right side
    276,259.57x = 31,722,144,599.39
  5. Step 5: Solve for x
    x = 31,722,144,599.39/276,259.57
  6. Step 6: Final answer
    x = 114,827.32

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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.