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Finding the Fourth Proportional to 465,851.84, 642,898.32 and 261,966.92

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Solution

The fourth proportional to 465,851.84, 642,898.32 and 261,966.92 is: 361,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,851.84 : 642,898.32 = 261,966.92 : x
  2. Step 2: Convert to fraction form
    465,851.84/642,898.32 = 261,966.92/x
  3. Step 3: Cross multiply
    465,851.84x = 642,898.32 × 261,966.92
  4. Step 4: Simplify right side
    465,851.84x = 168,418,092,763.57
  5. Step 5: Solve for x
    x = 168,418,092,763.57/465,851.84
  6. Step 6: Final answer
    x = 361,527.16

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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.