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Finding the Fourth Proportional to 421,772.38, 582,053.17 and 230,788.96

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Solution

The fourth proportional to 421,772.38, 582,053.17 and 230,788.96 is: 318,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,772.38 : 582,053.17 = 230,788.96 : x
  2. Step 2: Convert to fraction form
    421,772.38/582,053.17 = 230,788.96/x
  3. Step 3: Cross multiply
    421,772.38x = 582,053.17 × 230,788.96
  4. Step 4: Simplify right side
    421,772.38x = 134,331,445,769.00
  5. Step 5: Solve for x
    x = 134,331,445,769.00/421,772.38
  6. Step 6: Final answer
    x = 318,492.75

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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.