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Finding the Fourth Proportional to 582,881.27, 874,693.97 and 283,198.46

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Solution

The fourth proportional to 582,881.27, 874,693.97 and 283,198.46 is: 424,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,881.27 : 874,693.97 = 283,198.46 : x
  2. Step 2: Convert to fraction form
    582,881.27/874,693.97 = 283,198.46/x
  3. Step 3: Cross multiply
    582,881.27x = 874,693.97 × 283,198.46
  4. Step 4: Simplify right side
    582,881.27x = 247,711,985,275.29
  5. Step 5: Solve for x
    x = 247,711,985,275.29/582,881.27
  6. Step 6: Final answer
    x = 424,978.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.