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Finding the Fourth Proportional to 302,387.70, 417,295.38 and 166,431.48

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Solution

The fourth proportional to 302,387.70, 417,295.38 and 166,431.48 is: 229,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,387.70 : 417,295.38 = 166,431.48 : x
  2. Step 2: Convert to fraction form
    302,387.70/417,295.38 = 166,431.48/x
  3. Step 3: Cross multiply
    302,387.70x = 417,295.38 × 166,431.48
  4. Step 4: Simplify right side
    302,387.70x = 69,451,087,690.56
  5. Step 5: Solve for x
    x = 69,451,087,690.56/302,387.70
  6. Step 6: Final answer
    x = 229,675.64

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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.