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Finding the Fourth Proportional to 256,218.12, 382,645.05 and 218,374.92

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Solution

The fourth proportional to 256,218.12, 382,645.05 and 218,374.92 is: 326,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,218.12 : 382,645.05 = 218,374.92 : x
  2. Step 2: Convert to fraction form
    256,218.12/382,645.05 = 218,374.92/x
  3. Step 3: Cross multiply
    256,218.12x = 382,645.05 × 218,374.92
  4. Step 4: Simplify right side
    256,218.12x = 83,560,082,182.15
  5. Step 5: Solve for x
    x = 83,560,082,182.15/256,218.12
  6. Step 6: Final answer
    x = 326,128.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.