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Finding the Fourth Proportional to 465,832.98, 642,872.32 and 261,948.08

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Solution

The fourth proportional to 465,832.98, 642,872.32 and 261,948.08 is: 361,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,832.98 : 642,872.32 = 261,948.08 : x
  2. Step 2: Convert to fraction form
    465,832.98/642,872.32 = 261,948.08/x
  3. Step 3: Cross multiply
    465,832.98x = 642,872.32 × 261,948.08
  4. Step 4: Simplify right side
    465,832.98x = 168,399,170,861.46
  5. Step 5: Solve for x
    x = 168,399,170,861.46/465,832.98
  6. Step 6: Final answer
    x = 361,501.18

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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.