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Finding the Fourth Proportional to 465,989.84, 643,046.92 and 262,034.96

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Solution

The fourth proportional to 465,989.84, 643,046.92 and 262,034.96 is: 361,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,989.84 : 643,046.92 = 262,034.96 : x
  2. Step 2: Convert to fraction form
    465,989.84/643,046.92 = 262,034.96/x
  3. Step 3: Cross multiply
    465,989.84x = 643,046.92 × 262,034.96
  4. Step 4: Simplify right side
    465,989.84x = 168,500,773,960.32
  5. Step 5: Solve for x
    x = 168,500,773,960.32/465,989.84
  6. Step 6: Final answer
    x = 361,597.53

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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.