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Finding the Fourth Proportional to 413,618.41, 570,793.70 and 232,330.44

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Solution

The fourth proportional to 413,618.41, 570,793.70 and 232,330.44 is: 320,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,618.41 : 570,793.70 = 232,330.44 : x
  2. Step 2: Convert to fraction form
    413,618.41/570,793.70 = 232,330.44/x
  3. Step 3: Cross multiply
    413,618.41x = 570,793.70 × 232,330.44
  4. Step 4: Simplify right side
    413,618.41x = 132,612,751,470.23
  5. Step 5: Solve for x
    x = 132,612,751,470.23/413,618.41
  6. Step 6: Final answer
    x = 320,616.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.