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Finding the Fourth Proportional to 299,160.60, 412,993.99 and 231,024.61

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Solution

The fourth proportional to 299,160.60, 412,993.99 and 231,024.61 is: 318,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160.60 : 412,993.99 = 231,024.61 : x
  2. Step 2: Convert to fraction form
    299,160.60/412,993.99 = 231,024.61/x
  3. Step 3: Cross multiply
    299,160.60x = 412,993.99 × 231,024.61
  4. Step 4: Simplify right side
    299,160.60x = 95,411,775,472.09
  5. Step 5: Solve for x
    x = 95,411,775,472.09/299,160.60
  6. Step 6: Final answer
    x = 318,931.62

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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.