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Finding the Fourth Proportional to 417,615.44, 576,309.29 and 226,628.83

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Solution

The fourth proportional to 417,615.44, 576,309.29 and 226,628.83 is: 312,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,615.44 : 576,309.29 = 226,628.83 : x
  2. Step 2: Convert to fraction form
    417,615.44/576,309.29 = 226,628.83/x
  3. Step 3: Cross multiply
    417,615.44x = 576,309.29 × 226,628.83
  4. Step 4: Simplify right side
    417,615.44x = 130,608,299,698.07
  5. Step 5: Solve for x
    x = 130,608,299,698.07/417,615.44
  6. Step 6: Final answer
    x = 312,747.78

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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.