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Finding the Fourth Proportional to 465,230.60, 642,018.34 and 261,281.80

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Solution

The fourth proportional to 465,230.60, 642,018.34 and 261,281.80 is: 360,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,230.60 : 642,018.34 = 261,281.80 : x
  2. Step 2: Convert to fraction form
    465,230.60/642,018.34 = 261,281.80/x
  3. Step 3: Cross multiply
    465,230.60x = 642,018.34 × 261,281.80
  4. Step 4: Simplify right side
    465,230.60x = 167,747,708,269.91
  5. Step 5: Solve for x
    x = 167,747,708,269.91/465,230.60
  6. Step 6: Final answer
    x = 360,568.95

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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.