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Finding the Fourth Proportional to 410,713.44, 616,223.04 and 251,116.44

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Solution

The fourth proportional to 410,713.44, 616,223.04 and 251,116.44 is: 376,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,713.44 : 616,223.04 = 251,116.44 : x
  2. Step 2: Convert to fraction form
    410,713.44/616,223.04 = 251,116.44/x
  3. Step 3: Cross multiply
    410,713.44x = 616,223.04 × 251,116.44
  4. Step 4: Simplify right side
    410,713.44x = 154,743,736,050.78
  5. Step 5: Solve for x
    x = 154,743,736,050.78/410,713.44
  6. Step 6: Final answer
    x = 376,768.13

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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.