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Finding the Fourth Proportional to 613,143.64, 846,154.38 and 341,229.88

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Solution

The fourth proportional to 613,143.64, 846,154.38 and 341,229.88 is: 470,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,143.64 : 846,154.38 = 341,229.88 : x
  2. Step 2: Convert to fraction form
    613,143.64/846,154.38 = 341,229.88/x
  3. Step 3: Cross multiply
    613,143.64x = 846,154.38 × 341,229.88
  4. Step 4: Simplify right side
    613,143.64x = 288,733,157,548.87
  5. Step 5: Solve for x
    x = 288,733,157,548.87/613,143.64
  6. Step 6: Final answer
    x = 470,906.23

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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.