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Finding the Fourth Proportional to 313,246.52, 432,280.02 and 177,278

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Solution

The fourth proportional to 313,246.52, 432,280.02 and 177,278 is: 244,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,246.52 : 432,280.02 = 177,278 : x
  2. Step 2: Convert to fraction form
    313,246.52/432,280.02 = 177,278/x
  3. Step 3: Cross multiply
    313,246.52x = 432,280.02 × 177,278
  4. Step 4: Simplify right side
    313,246.52x = 76,633,737,385.56
  5. Step 5: Solve for x
    x = 76,633,737,385.56/313,246.52
  6. Step 6: Final answer
    x = 244,643.54

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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.