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Finding the Fourth Proportional to 782,028, 1,079,198.64 and 424,332

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Solution

The fourth proportional to 782,028, 1,079,198.64 and 424,332 is: 585,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,028 : 1,079,198.64 = 424,332 : x
  2. Step 2: Convert to fraction form
    782,028/1,079,198.64 = 424,332/x
  3. Step 3: Cross multiply
    782,028x = 1,079,198.64 × 424,332
  4. Step 4: Simplify right side
    782,028x = 457,938,517,308.48
  5. Step 5: Solve for x
    x = 457,938,517,308.48/782,028
  6. Step 6: Final answer
    x = 585,578.16

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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.