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Finding the Fourth Proportional to 782,144, 1,079,358.72 and 424,448

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Solution

The fourth proportional to 782,144, 1,079,358.72 and 424,448 is: 585,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,144 : 1,079,358.72 = 424,448 : x
  2. Step 2: Convert to fraction form
    782,144/1,079,358.72 = 424,448/x
  3. Step 3: Cross multiply
    782,144x = 1,079,358.72 × 424,448
  4. Step 4: Simplify right side
    782,144x = 458,131,649,986.56
  5. Step 5: Solve for x
    x = 458,131,649,986.56/782,144
  6. Step 6: Final answer
    x = 585,738.24

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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.