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Finding the Fourth Proportional to 426,874.31, 640,288.38 and 216,506.78

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Solution

The fourth proportional to 426,874.31, 640,288.38 and 216,506.78 is: 324,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,874.31 : 640,288.38 = 216,506.78 : x
  2. Step 2: Convert to fraction form
    426,874.31/640,288.38 = 216,506.78/x
  3. Step 3: Cross multiply
    426,874.31x = 640,288.38 × 216,506.78
  4. Step 4: Simplify right side
    426,874.31x = 138,626,775,425.22
  5. Step 5: Solve for x
    x = 138,626,775,425.22/426,874.31
  6. Step 6: Final answer
    x = 324,748.46

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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.