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Finding the Fourth Proportional to 410,834.85, 615,858.60 and 173,851.53

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Solution

The fourth proportional to 410,834.85, 615,858.60 and 173,851.53 is: 260,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,834.85 : 615,858.60 = 173,851.53 : x
  2. Step 2: Convert to fraction form
    410,834.85/615,858.60 = 173,851.53/x
  3. Step 3: Cross multiply
    410,834.85x = 615,858.60 × 173,851.53
  4. Step 4: Simplify right side
    410,834.85x = 107,067,959,873.66
  5. Step 5: Solve for x
    x = 107,067,959,873.66/410,834.85
  6. Step 6: Final answer
    x = 260,610.70

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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.