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Finding the Fourth Proportional to 522,874.41, 721,507.41 and 293,401.68

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Solution

The fourth proportional to 522,874.41, 721,507.41 and 293,401.68 is: 404,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,874.41 : 721,507.41 = 293,401.68 : x
  2. Step 2: Convert to fraction form
    522,874.41/721,507.41 = 293,401.68/x
  3. Step 3: Cross multiply
    522,874.41x = 721,507.41 × 293,401.68
  4. Step 4: Simplify right side
    522,874.41x = 211,691,486,226.45
  5. Step 5: Solve for x
    x = 211,691,486,226.45/522,874.41
  6. Step 6: Final answer
    x = 404,861.06

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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.