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Finding the Fourth Proportional to 442,205.40, 661,777.20 and 264,839.70

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Solution

The fourth proportional to 442,205.40, 661,777.20 and 264,839.70 is: 396,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,205.40 : 661,777.20 = 264,839.70 : x
  2. Step 2: Convert to fraction form
    442,205.40/661,777.20 = 264,839.70/x
  3. Step 3: Cross multiply
    442,205.40x = 661,777.20 × 264,839.70
  4. Step 4: Simplify right side
    442,205.40x = 175,264,875,114.84
  5. Step 5: Solve for x
    x = 175,264,875,114.84/442,205.40
  6. Step 6: Final answer
    x = 396,342.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.