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Finding the Fourth Proportional to 410,833.20, 616,249.80 and 341,713.20

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Solution

The fourth proportional to 410,833.20, 616,249.80 and 341,713.20 is: 512,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.20 : 616,249.80 = 341,713.20 : x
  2. Step 2: Convert to fraction form
    410,833.20/616,249.80 = 341,713.20/x
  3. Step 3: Cross multiply
    410,833.20x = 616,249.80 × 341,713.20
  4. Step 4: Simplify right side
    410,833.20x = 210,580,691,157.36
  5. Step 5: Solve for x
    x = 210,580,691,157.36/410,833.20
  6. Step 6: Final answer
    x = 512,569.80

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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.