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Finding the Fourth Proportional to 342,877.20, 512,857.80 and 307,593.60

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Solution

The fourth proportional to 342,877.20, 512,857.80 and 307,593.60 is: 460,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877.20 : 512,857.80 = 307,593.60 : x
  2. Step 2: Convert to fraction form
    342,877.20/512,857.80 = 307,593.60/x
  3. Step 3: Cross multiply
    342,877.20x = 512,857.80 × 307,593.60
  4. Step 4: Simplify right side
    342,877.20x = 157,751,776,990.08
  5. Step 5: Solve for x
    x = 157,751,776,990.08/342,877.20
  6. Step 6: Final answer
    x = 460,082.43

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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.