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Finding the Fourth Proportional to 401,020.80, 601,531.20 and 251,721.60

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Solution

The fourth proportional to 401,020.80, 601,531.20 and 251,721.60 is: 377,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,020.80 : 601,531.20 = 251,721.60 : x
  2. Step 2: Convert to fraction form
    401,020.80/601,531.20 = 251,721.60/x
  3. Step 3: Cross multiply
    401,020.80x = 601,531.20 × 251,721.60
  4. Step 4: Simplify right side
    401,020.80x = 151,418,396,113.92
  5. Step 5: Solve for x
    x = 151,418,396,113.92/401,020.80
  6. Step 6: Final answer
    x = 377,582.40

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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.