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Finding the Fourth Proportional to 263,871.61, 396,336.84 and 157,463.13

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Solution

The fourth proportional to 263,871.61, 396,336.84 and 157,463.13 is: 236,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,871.61 : 396,336.84 = 157,463.13 : x
  2. Step 2: Convert to fraction form
    263,871.61/396,336.84 = 157,463.13/x
  3. Step 3: Cross multiply
    263,871.61x = 396,336.84 × 157,463.13
  4. Step 4: Simplify right side
    263,871.61x = 62,408,439,360.71
  5. Step 5: Solve for x
    x = 62,408,439,360.71/263,871.61
  6. Step 6: Final answer
    x = 236,510.62

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Why These Related Problems?

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