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Finding the Fourth Proportional to 782,224.16, 1,079,469.78 and 424,528.16

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Solution

The fourth proportional to 782,224.16, 1,079,469.78 and 424,528.16 is: 585,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,224.16 : 1,079,469.78 = 424,528.16 : x
  2. Step 2: Convert to fraction form
    782,224.16/1,079,469.78 = 424,528.16/x
  3. Step 3: Cross multiply
    782,224.16x = 1,079,469.78 × 424,528.16
  4. Step 4: Simplify right side
    782,224.16x = 458,265,319,479.01
  5. Step 5: Solve for x
    x = 458,265,319,479.01/782,224.16
  6. Step 6: Final answer
    x = 585,849.10

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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.