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Finding the Fourth Proportional to 309,447.78, 427,177.83 and 194,894.76

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Solution

The fourth proportional to 309,447.78, 427,177.83 and 194,894.76 is: 269,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,447.78 : 427,177.83 = 194,894.76 : x
  2. Step 2: Convert to fraction form
    309,447.78/427,177.83 = 194,894.76/x
  3. Step 3: Cross multiply
    309,447.78x = 427,177.83 × 194,894.76
  4. Step 4: Simplify right side
    309,447.78x = 83,254,720,655.17
  5. Step 5: Solve for x
    x = 83,254,720,655.17/309,447.78
  6. Step 6: Final answer
    x = 269,042.88

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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.