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Finding the Fourth Proportional to 360,749.76, 498,034.88 and 217,546.08

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Solution

The fourth proportional to 360,749.76, 498,034.88 and 217,546.08 is: 300,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,749.76 : 498,034.88 = 217,546.08 : x
  2. Step 2: Convert to fraction form
    360,749.76/498,034.88 = 217,546.08/x
  3. Step 3: Cross multiply
    360,749.76x = 498,034.88 × 217,546.08
  4. Step 4: Simplify right side
    360,749.76x = 108,345,535,847.27
  5. Step 5: Solve for x
    x = 108,345,535,847.27/360,749.76
  6. Step 6: Final answer
    x = 300,334.33

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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.