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Finding the Fourth Proportional to 415,793, 573,795.94 and 232,039.40

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Solution

The fourth proportional to 415,793, 573,795.94 and 232,039.40 is: 320,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,793 : 573,795.94 = 232,039.40 : x
  2. Step 2: Convert to fraction form
    415,793/573,795.94 = 232,039.40/x
  3. Step 3: Cross multiply
    415,793x = 573,795.94 × 232,039.40
  4. Step 4: Simplify right side
    415,793x = 133,143,265,640.04
  5. Step 5: Solve for x
    x = 133,143,265,640.04/415,793
  6. Step 6: Final answer
    x = 320,215.26

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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.