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Finding the Fourth Proportional to 465,832.61, 642,871.80 and 261,947.72

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Solution

The fourth proportional to 465,832.61, 642,871.80 and 261,947.72 is: 361,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,832.61 : 642,871.80 = 261,947.72 : x
  2. Step 2: Convert to fraction form
    465,832.61/642,871.80 = 261,947.72/x
  3. Step 3: Cross multiply
    465,832.61x = 642,871.80 × 261,947.72
  4. Step 4: Simplify right side
    465,832.61x = 168,398,802,262.30
  5. Step 5: Solve for x
    x = 168,398,802,262.30/465,832.61
  6. Step 6: Final answer
    x = 361,500.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.