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Finding the Fourth Proportional to 547,952.16, 755,960.40 and 343,884

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Solution

The fourth proportional to 547,952.16, 755,960.40 and 343,884 is: 474,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,952.16 : 755,960.40 = 343,884 : x
  2. Step 2: Convert to fraction form
    547,952.16/755,960.40 = 343,884/x
  3. Step 3: Cross multiply
    547,952.16x = 755,960.40 × 343,884
  4. Step 4: Simplify right side
    547,952.16x = 259,962,686,193.60
  5. Step 5: Solve for x
    x = 259,962,686,193.60/547,952.16
  6. Step 6: Final answer
    x = 474,425.88

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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.