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Finding the Fourth Proportional to 723,713.06, 998,724.84 and 421,965.38

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Solution

The fourth proportional to 723,713.06, 998,724.84 and 421,965.38 is: 582,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,713.06 : 998,724.84 = 421,965.38 : x
  2. Step 2: Convert to fraction form
    723,713.06/998,724.84 = 421,965.38/x
  3. Step 3: Cross multiply
    723,713.06x = 998,724.84 × 421,965.38
  4. Step 4: Simplify right side
    723,713.06x = 421,427,307,540.48
  5. Step 5: Solve for x
    x = 421,427,307,540.48/723,713.06
  6. Step 6: Final answer
    x = 582,312.70

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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.