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Finding the Fourth Proportional to 465,429.96, 642,295.92 and 261,489.48

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Solution

The fourth proportional to 465,429.96, 642,295.92 and 261,489.48 is: 360,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,429.96 : 642,295.92 = 261,489.48 : x
  2. Step 2: Convert to fraction form
    465,429.96/642,295.92 = 261,489.48/x
  3. Step 3: Cross multiply
    465,429.96x = 642,295.92 × 261,489.48
  4. Step 4: Simplify right side
    465,429.96x = 167,953,626,126.92
  5. Step 5: Solve for x
    x = 167,953,626,126.92/465,429.96
  6. Step 6: Final answer
    x = 360,856.93

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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.