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Finding the Fourth Proportional to 769,713.84, 1,154,758.50 and 542,452.66

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Solution

The fourth proportional to 769,713.84, 1,154,758.50 and 542,452.66 is: 813,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,713.84 : 1,154,758.50 = 542,452.66 : x
  2. Step 2: Convert to fraction form
    769,713.84/1,154,758.50 = 542,452.66/x
  3. Step 3: Cross multiply
    769,713.84x = 1,154,758.50 × 542,452.66
  4. Step 4: Simplify right side
    769,713.84x = 626,401,819,982.61
  5. Step 5: Solve for x
    x = 626,401,819,982.61/769,713.84
  6. Step 6: Final answer
    x = 813,811.30

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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.