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Finding the Fourth Proportional to 275,228.10, 412,842.15 and 233,237.70

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Solution

The fourth proportional to 275,228.10, 412,842.15 and 233,237.70 is: 349,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,228.10 : 412,842.15 = 233,237.70 : x
  2. Step 2: Convert to fraction form
    275,228.10/412,842.15 = 233,237.70/x
  3. Step 3: Cross multiply
    275,228.10x = 412,842.15 × 233,237.70
  4. Step 4: Simplify right side
    275,228.10x = 96,290,353,529.06
  5. Step 5: Solve for x
    x = 96,290,353,529.06/275,228.10
  6. Step 6: Final answer
    x = 349,856.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.