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Finding the Fourth Proportional to 305,998.80, 458,998.20 and 274,894.80

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Solution

The fourth proportional to 305,998.80, 458,998.20 and 274,894.80 is: 412,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,998.80 : 458,998.20 = 274,894.80 : x
  2. Step 2: Convert to fraction form
    305,998.80/458,998.20 = 274,894.80/x
  3. Step 3: Cross multiply
    305,998.80x = 458,998.20 × 274,894.80
  4. Step 4: Simplify right side
    305,998.80x = 126,176,218,389.36
  5. Step 5: Solve for x
    x = 126,176,218,389.36/305,998.80
  6. Step 6: Final answer
    x = 412,342.20

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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.