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Finding the Fourth Proportional to 465,756.87, 642,812.54 and 261,824.58

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Solution

The fourth proportional to 465,756.87, 642,812.54 and 261,824.58 is: 361,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,756.87 : 642,812.54 = 261,824.58 : x
  2. Step 2: Convert to fraction form
    465,756.87/642,812.54 = 261,824.58/x
  3. Step 3: Cross multiply
    465,756.87x = 642,812.54 × 261,824.58
  4. Step 4: Simplify right side
    465,756.87x = 168,304,121,995.11
  5. Step 5: Solve for x
    x = 168,304,121,995.11/465,756.87
  6. Step 6: Final answer
    x = 361,356.18

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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.