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Finding the Fourth Proportional to 300,585.76, 414,803.28 and 166,446.88

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Solution

The fourth proportional to 300,585.76, 414,803.28 and 166,446.88 is: 229,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,585.76 : 414,803.28 = 166,446.88 : x
  2. Step 2: Convert to fraction form
    300,585.76/414,803.28 = 166,446.88/x
  3. Step 3: Cross multiply
    300,585.76x = 414,803.28 × 166,446.88
  4. Step 4: Simplify right side
    300,585.76x = 69,042,711,769.77
  5. Step 5: Solve for x
    x = 69,042,711,769.77/300,585.76
  6. Step 6: Final answer
    x = 229,693.89

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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.