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Finding the Fourth Proportional to 522,873.90, 721,523.70 and 293,399.82

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Solution

The fourth proportional to 522,873.90, 721,523.70 and 293,399.82 is: 404,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,873.90 : 721,523.70 = 293,399.82 : x
  2. Step 2: Convert to fraction form
    522,873.90/721,523.70 = 293,399.82/x
  3. Step 3: Cross multiply
    522,873.90x = 721,523.70 × 293,399.82
  4. Step 4: Simplify right side
    522,873.90x = 211,694,923,705.73
  5. Step 5: Solve for x
    x = 211,694,923,705.73/522,873.90
  6. Step 6: Final answer
    x = 404,868.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.