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Finding the Fourth Proportional to 412,391.84, 569,091.40 and 240,299.12

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Solution

The fourth proportional to 412,391.84, 569,091.40 and 240,299.12 is: 331,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,391.84 : 569,091.40 = 240,299.12 : x
  2. Step 2: Convert to fraction form
    412,391.84/569,091.40 = 240,299.12/x
  3. Step 3: Cross multiply
    412,391.84x = 569,091.40 × 240,299.12
  4. Step 4: Simplify right side
    412,391.84x = 136,752,162,619.57
  5. Step 5: Solve for x
    x = 136,752,162,619.57/412,391.84
  6. Step 6: Final answer
    x = 331,607.34

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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.