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Finding the Fourth Proportional to 230,715.78, 346,039.11 and 191,524.74

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Solution

The fourth proportional to 230,715.78, 346,039.11 and 191,524.74 is: 287,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,715.78 : 346,039.11 = 191,524.74 : x
  2. Step 2: Convert to fraction form
    230,715.78/346,039.11 = 191,524.74/x
  3. Step 3: Cross multiply
    230,715.78x = 346,039.11 × 191,524.74
  4. Step 4: Simplify right side
    230,715.78x = 66,275,050,572.58
  5. Step 5: Solve for x
    x = 66,275,050,572.58/230,715.78
  6. Step 6: Final answer
    x = 287,258.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.