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Finding the Fourth Proportional to 465,833.48, 642,873.01 and 261,948.59

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Solution

The fourth proportional to 465,833.48, 642,873.01 and 261,948.59 is: 361,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,833.48 : 642,873.01 = 261,948.59 : x
  2. Step 2: Convert to fraction form
    465,833.48/642,873.01 = 261,948.59/x
  3. Step 3: Cross multiply
    465,833.48x = 642,873.01 × 261,948.59
  4. Step 4: Simplify right side
    465,833.48x = 168,399,675,304.19
  5. Step 5: Solve for x
    x = 168,399,675,304.19/465,833.48
  6. Step 6: Final answer
    x = 361,501.87

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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.