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Finding the Fourth Proportional to 519,884.90, 778,515.15 and 341,425.70

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Solution

The fourth proportional to 519,884.90, 778,515.15 and 341,425.70 is: 511,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,884.90 : 778,515.15 = 341,425.70 : x
  2. Step 2: Convert to fraction form
    519,884.90/778,515.15 = 341,425.70/x
  3. Step 3: Cross multiply
    519,884.90x = 778,515.15 × 341,425.70
  4. Step 4: Simplify right side
    519,884.90x = 265,805,080,049.36
  5. Step 5: Solve for x
    x = 265,805,080,049.36/519,884.90
  6. Step 6: Final answer
    x = 511,276.78

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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.