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Finding the Fourth Proportional to 582,971.52, 874,711.42 and 204,164

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Solution

The fourth proportional to 582,971.52, 874,711.42 and 204,164 is: 306,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,971.52 : 874,711.42 = 204,164 : x
  2. Step 2: Convert to fraction form
    582,971.52/874,711.42 = 204,164/x
  3. Step 3: Cross multiply
    582,971.52x = 874,711.42 × 204,164
  4. Step 4: Simplify right side
    582,971.52x = 178,584,582,352.88
  5. Step 5: Solve for x
    x = 178,584,582,352.88/582,971.52
  6. Step 6: Final answer
    x = 306,335.00

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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.