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Finding the Fourth Proportional to 302,909.59, 417,998.99 and 166,916.46

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Solution

The fourth proportional to 302,909.59, 417,998.99 and 166,916.46 is: 230,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,909.59 : 417,998.99 = 166,916.46 : x
  2. Step 2: Convert to fraction form
    302,909.59/417,998.99 = 166,916.46/x
  3. Step 3: Cross multiply
    302,909.59x = 417,998.99 × 166,916.46
  4. Step 4: Simplify right side
    302,909.59x = 69,770,910,859.79
  5. Step 5: Solve for x
    x = 69,770,910,859.79/302,909.59
  6. Step 6: Final answer
    x = 230,335.76

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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.