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Finding the Fourth Proportional to 782,212, 1,079,452.56 and 424,516

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Solution

The fourth proportional to 782,212, 1,079,452.56 and 424,516 is: 585,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,212 : 1,079,452.56 = 424,516 : x
  2. Step 2: Convert to fraction form
    782,212/1,079,452.56 = 424,516/x
  3. Step 3: Cross multiply
    782,212x = 1,079,452.56 × 424,516
  4. Step 4: Simplify right side
    782,212x = 458,244,882,960.96
  5. Step 5: Solve for x
    x = 458,244,882,960.96/782,212
  6. Step 6: Final answer
    x = 585,832.08

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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.