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Finding the Fourth Proportional to 410,103.20, 614,578.80 and 326,007.20

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Solution

The fourth proportional to 410,103.20, 614,578.80 and 326,007.20 is: 488,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,103.20 : 614,578.80 = 326,007.20 : x
  2. Step 2: Convert to fraction form
    410,103.20/614,578.80 = 326,007.20/x
  3. Step 3: Cross multiply
    410,103.20x = 614,578.80 × 326,007.20
  4. Step 4: Simplify right side
    410,103.20x = 200,357,113,767.36
  5. Step 5: Solve for x
    x = 200,357,113,767.36/410,103.20
  6. Step 6: Final answer
    x = 488,552.91

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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.