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Finding the Fourth Proportional to 305,808.32, 458,472.12 and 193,251.80

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Solution

The fourth proportional to 305,808.32, 458,472.12 and 193,251.80 is: 289,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,808.32 : 458,472.12 = 193,251.80 : x
  2. Step 2: Convert to fraction form
    305,808.32/458,472.12 = 193,251.80/x
  3. Step 3: Cross multiply
    305,808.32x = 458,472.12 × 193,251.80
  4. Step 4: Simplify right side
    305,808.32x = 88,600,562,439.82
  5. Step 5: Solve for x
    x = 88,600,562,439.82/305,808.32
  6. Step 6: Final answer
    x = 289,725.81

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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.