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Finding the Fourth Proportional to 302,191, 417,032.76 and 166,217.92

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Solution

The fourth proportional to 302,191, 417,032.76 and 166,217.92 is: 229,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,191 : 417,032.76 = 166,217.92 : x
  2. Step 2: Convert to fraction form
    302,191/417,032.76 = 166,217.92/x
  3. Step 3: Cross multiply
    302,191x = 417,032.76 × 166,217.92
  4. Step 4: Simplify right side
    302,191x = 69,318,317,939.06
  5. Step 5: Solve for x
    x = 69,318,317,939.06/302,191
  6. Step 6: Final answer
    x = 229,385.78

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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.