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Finding the Fourth Proportional to 421,773.38, 582,054.55 and 230,789.96

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Solution

The fourth proportional to 421,773.38, 582,054.55 and 230,789.96 is: 318,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,773.38 : 582,054.55 = 230,789.96 : x
  2. Step 2: Convert to fraction form
    421,773.38/582,054.55 = 230,789.96/x
  3. Step 3: Cross multiply
    421,773.38x = 582,054.55 × 230,789.96
  4. Step 4: Simplify right side
    421,773.38x = 134,332,346,312.32
  5. Step 5: Solve for x
    x = 134,332,346,312.32/421,773.38
  6. Step 6: Final answer
    x = 318,494.13

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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.