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Finding the Fourth Proportional to 541,874.64, 747,754.08 and 300,143.10

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Solution

The fourth proportional to 541,874.64, 747,754.08 and 300,143.10 is: 414,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,874.64 : 747,754.08 = 300,143.10 : x
  2. Step 2: Convert to fraction form
    541,874.64/747,754.08 = 300,143.10/x
  3. Step 3: Cross multiply
    541,874.64x = 747,754.08 × 300,143.10
  4. Step 4: Simplify right side
    541,874.64x = 224,433,227,608.85
  5. Step 5: Solve for x
    x = 224,433,227,608.85/541,874.64
  6. Step 6: Final answer
    x = 414,179.24

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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.