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Finding the Fourth Proportional to 302,863.30, 417,945.72 and 166,909.84

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Solution

The fourth proportional to 302,863.30, 417,945.72 and 166,909.84 is: 230,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,863.30 : 417,945.72 = 166,909.84 : x
  2. Step 2: Convert to fraction form
    302,863.30/417,945.72 = 166,909.84/x
  3. Step 3: Cross multiply
    302,863.30x = 417,945.72 × 166,909.84
  4. Step 4: Simplify right side
    302,863.30x = 69,759,253,253.88
  5. Step 5: Solve for x
    x = 69,759,253,253.88/302,863.30
  6. Step 6: Final answer
    x = 230,332.47

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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.