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Finding the Fourth Proportional to 426,202.89, 588,142.80 and 235,213.80

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Solution

The fourth proportional to 426,202.89, 588,142.80 and 235,213.80 is: 324,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,202.89 : 588,142.80 = 235,213.80 : x
  2. Step 2: Convert to fraction form
    426,202.89/588,142.80 = 235,213.80/x
  3. Step 3: Cross multiply
    426,202.89x = 588,142.80 × 235,213.80
  4. Step 4: Simplify right side
    426,202.89x = 138,339,302,930.64
  5. Step 5: Solve for x
    x = 138,339,302,930.64/426,202.89
  6. Step 6: Final answer
    x = 324,585.56

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1.5x scale

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.