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Finding the Fourth Proportional to 314,633.75, 434,162.20 and 176,790.78

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Solution

The fourth proportional to 314,633.75, 434,162.20 and 176,790.78 is: 243,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,633.75 : 434,162.20 = 176,790.78 : x
  2. Step 2: Convert to fraction form
    314,633.75/434,162.20 = 176,790.78/x
  3. Step 3: Cross multiply
    314,633.75x = 434,162.20 × 176,790.78
  4. Step 4: Simplify right side
    314,633.75x = 76,755,873,542.54
  5. Step 5: Solve for x
    x = 76,755,873,542.54/314,633.75
  6. Step 6: Final answer
    x = 243,953.09

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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.