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Finding the Fourth Proportional to 782,016, 1,079,182.08 and 424,320

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Solution

The fourth proportional to 782,016, 1,079,182.08 and 424,320 is: 585,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,016 : 1,079,182.08 = 424,320 : x
  2. Step 2: Convert to fraction form
    782,016/1,079,182.08 = 424,320/x
  3. Step 3: Cross multiply
    782,016x = 1,079,182.08 × 424,320
  4. Step 4: Simplify right side
    782,016x = 457,918,540,185.60
  5. Step 5: Solve for x
    x = 457,918,540,185.60/782,016
  6. Step 6: Final answer
    x = 585,561.60

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Why These Related Problems?

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