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Finding the Fourth Proportional to 782,589.12, 1,079,970.57 and 433,751.77

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Solution

The fourth proportional to 782,589.12, 1,079,970.57 and 433,751.77 is: 598,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,589.12 : 1,079,970.57 = 433,751.77 : x
  2. Step 2: Convert to fraction form
    782,589.12/1,079,970.57 = 433,751.77/x
  3. Step 3: Cross multiply
    782,589.12x = 1,079,970.57 × 433,751.77
  4. Step 4: Simplify right side
    782,589.12x = 468,439,145,212.05
  5. Step 5: Solve for x
    x = 468,439,145,212.05/782,589.12
  6. Step 6: Final answer
    x = 598,576.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.