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Finding the Fourth Proportional to 299,158.86, 412,991.58 and 231,022.86

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Solution

The fourth proportional to 299,158.86, 412,991.58 and 231,022.86 is: 318,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,158.86 : 412,991.58 = 231,022.86 : x
  2. Step 2: Convert to fraction form
    299,158.86/412,991.58 = 231,022.86/x
  3. Step 3: Cross multiply
    299,158.86x = 412,991.58 × 231,022.86
  4. Step 4: Simplify right side
    299,158.86x = 95,410,495,967.52
  5. Step 5: Solve for x
    x = 95,410,495,967.52/299,158.86
  6. Step 6: Final answer
    x = 318,929.20

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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.