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Finding the Fourth Proportional to 352,414.85, 486,214.12 and 225,164.93

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Solution

The fourth proportional to 352,414.85, 486,214.12 and 225,164.93 is: 310,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,414.85 : 486,214.12 = 225,164.93 : x
  2. Step 2: Convert to fraction form
    352,414.85/486,214.12 = 225,164.93/x
  3. Step 3: Cross multiply
    352,414.85x = 486,214.12 × 225,164.93
  4. Step 4: Simplify right side
    352,414.85x = 109,478,368,294.81
  5. Step 5: Solve for x
    x = 109,478,368,294.81/352,414.85
  6. Step 6: Final answer
    x = 310,651.97

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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.