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Finding the Fourth Proportional to 302,514.75, 417,454.50 and 166,522.13

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Solution

The fourth proportional to 302,514.75, 417,454.50 and 166,522.13 is: 229,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,514.75 : 417,454.50 = 166,522.13 : x
  2. Step 2: Convert to fraction form
    302,514.75/417,454.50 = 166,522.13/x
  3. Step 3: Cross multiply
    302,514.75x = 417,454.50 × 166,522.13
  4. Step 4: Simplify right side
    302,514.75x = 69,515,412,937.26
  5. Step 5: Solve for x
    x = 69,515,412,937.26/302,514.75
  6. Step 6: Final answer
    x = 229,791.82

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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.