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Finding the Fourth Proportional to 502,020.26, 751,148.22 and 298,873.31

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Solution

The fourth proportional to 502,020.26, 751,148.22 and 298,873.31 is: 447,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,020.26 : 751,148.22 = 298,873.31 : x
  2. Step 2: Convert to fraction form
    502,020.26/751,148.22 = 298,873.31/x
  3. Step 3: Cross multiply
    502,020.26x = 751,148.22 × 298,873.31
  4. Step 4: Simplify right side
    502,020.26x = 224,498,154,812.01
  5. Step 5: Solve for x
    x = 224,498,154,812.01/502,020.26
  6. Step 6: Final answer
    x = 447,189.43

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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.