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Finding the Fourth Proportional to 302,251.60, 417,116.24 and 166,299.60

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Solution

The fourth proportional to 302,251.60, 417,116.24 and 166,299.60 is: 229,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,251.60 : 417,116.24 = 166,299.60 : x
  2. Step 2: Convert to fraction form
    302,251.60/417,116.24 = 166,299.60/x
  3. Step 3: Cross multiply
    302,251.60x = 417,116.24 × 166,299.60
  4. Step 4: Simplify right side
    302,251.60x = 69,366,263,865.50
  5. Step 5: Solve for x
    x = 69,366,263,865.50/302,251.60
  6. Step 6: Final answer
    x = 229,498.42

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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.