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Finding the Fourth Proportional to 541,913.68, 747,832.88 and 300,195.52

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Solution

The fourth proportional to 541,913.68, 747,832.88 and 300,195.52 is: 414,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,913.68 : 747,832.88 = 300,195.52 : x
  2. Step 2: Convert to fraction form
    541,913.68/747,832.88 = 300,195.52/x
  3. Step 3: Cross multiply
    541,913.68x = 747,832.88 × 300,195.52
  4. Step 4: Simplify right side
    541,913.68x = 224,496,080,284.70
  5. Step 5: Solve for x
    x = 224,496,080,284.70/541,913.68
  6. Step 6: Final answer
    x = 414,265.39

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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.