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Finding the Fourth Proportional to 468,081.96, 645,971.42 and 274,462.75

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Solution

The fourth proportional to 468,081.96, 645,971.42 and 274,462.75 is: 378,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,081.96 : 645,971.42 = 274,462.75 : x
  2. Step 2: Convert to fraction form
    468,081.96/645,971.42 = 274,462.75/x
  3. Step 3: Cross multiply
    468,081.96x = 645,971.42 × 274,462.75
  4. Step 4: Simplify right side
    468,081.96x = 177,295,092,818.99
  5. Step 5: Solve for x
    x = 177,295,092,818.99/468,081.96
  6. Step 6: Final answer
    x = 378,769.34

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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.