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Finding the Fourth Proportional to 547,028.64, 754,304.40 and 355,687.20

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Solution

The fourth proportional to 547,028.64, 754,304.40 and 355,687.20 is: 490,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,028.64 : 754,304.40 = 355,687.20 : x
  2. Step 2: Convert to fraction form
    547,028.64/754,304.40 = 355,687.20/x
  3. Step 3: Cross multiply
    547,028.64x = 754,304.40 × 355,687.20
  4. Step 4: Simplify right side
    547,028.64x = 268,296,419,983.68
  5. Step 5: Solve for x
    x = 268,296,419,983.68/547,028.64
  6. Step 6: Final answer
    x = 490,461.38

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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.