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Finding the Fourth Proportional to 519,851.40, 778,464.90 and 341,392.20

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Solution

The fourth proportional to 519,851.40, 778,464.90 and 341,392.20 is: 511,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,851.40 : 778,464.90 = 341,392.20 : x
  2. Step 2: Convert to fraction form
    519,851.40/778,464.90 = 341,392.20/x
  3. Step 3: Cross multiply
    519,851.40x = 778,464.90 × 341,392.20
  4. Step 4: Simplify right side
    519,851.40x = 265,761,844,833.78
  5. Step 5: Solve for x
    x = 265,761,844,833.78/519,851.40
  6. Step 6: Final answer
    x = 511,226.56

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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.