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Finding the Fourth Proportional to 410,718.69, 616,230.92 and 251,121.69

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Solution

The fourth proportional to 410,718.69, 616,230.92 and 251,121.69 is: 376,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,718.69 : 616,230.92 = 251,121.69 : x
  2. Step 2: Convert to fraction form
    410,718.69/616,230.92 = 251,121.69/x
  3. Step 3: Cross multiply
    410,718.69x = 616,230.92 × 251,121.69
  4. Step 4: Simplify right side
    410,718.69x = 154,748,948,805.05
  5. Step 5: Solve for x
    x = 154,748,948,805.05/410,718.69
  6. Step 6: Final answer
    x = 376,776.01

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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.