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Finding the Fourth Proportional to 309,562.88, 427,015.78 and 194,659.68

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Solution

The fourth proportional to 309,562.88, 427,015.78 and 194,659.68 is: 268,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,562.88 : 427,015.78 = 194,659.68 : x
  2. Step 2: Convert to fraction form
    309,562.88/427,015.78 = 194,659.68/x
  3. Step 3: Cross multiply
    309,562.88x = 427,015.78 × 194,659.68
  4. Step 4: Simplify right side
    309,562.88x = 83,122,755,089.75
  5. Step 5: Solve for x
    x = 83,122,755,089.75/309,562.88
  6. Step 6: Final answer
    x = 268,516.55

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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.