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Finding the Fourth Proportional to 304,912.83, 457,441.92 and 105,234.96

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Solution

The fourth proportional to 304,912.83, 457,441.92 and 105,234.96 is: 157,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,912.83 : 457,441.92 = 105,234.96 : x
  2. Step 2: Convert to fraction form
    304,912.83/457,441.92 = 105,234.96/x
  3. Step 3: Cross multiply
    304,912.83x = 457,441.92 × 105,234.96
  4. Step 4: Simplify right side
    304,912.83x = 48,138,882,153.52
  5. Step 5: Solve for x
    x = 48,138,882,153.52/304,912.83
  6. Step 6: Final answer
    x = 157,877.52

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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.