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Finding the Fourth Proportional to 302,321.86, 417,207.12 and 166,358.73

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Solution

The fourth proportional to 302,321.86, 417,207.12 and 166,358.73 is: 229,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,321.86 : 417,207.12 = 166,358.73 : x
  2. Step 2: Convert to fraction form
    302,321.86/417,207.12 = 166,358.73/x
  3. Step 3: Cross multiply
    302,321.86x = 417,207.12 × 166,358.73
  4. Step 4: Simplify right side
    302,321.86x = 69,406,046,630.16
  5. Step 5: Solve for x
    x = 69,406,046,630.16/302,321.86
  6. Step 6: Final answer
    x = 229,576.68

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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.