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Finding the Fourth Proportional to 361,471.67, 542,356.38 and 158,963.67

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Solution

The fourth proportional to 361,471.67, 542,356.38 and 158,963.67 is: 238,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,471.67 : 542,356.38 = 158,963.67 : x
  2. Step 2: Convert to fraction form
    361,471.67/542,356.38 = 158,963.67/x
  3. Step 3: Cross multiply
    361,471.67x = 542,356.38 × 158,963.67
  4. Step 4: Simplify right side
    361,471.67x = 86,214,960,612.71
  5. Step 5: Solve for x
    x = 86,214,960,612.71/361,471.67
  6. Step 6: Final answer
    x = 238,510.98

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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.