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Finding the Fourth Proportional to 417,900.09, 576,704.31 and 226,913.43

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Solution

The fourth proportional to 417,900.09, 576,704.31 and 226,913.43 is: 313,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,900.09 : 576,704.31 = 226,913.43 : x
  2. Step 2: Convert to fraction form
    417,900.09/576,704.31 = 226,913.43/x
  3. Step 3: Cross multiply
    417,900.09x = 576,704.31 × 226,913.43
  4. Step 4: Simplify right side
    417,900.09x = 130,861,953,077.88
  5. Step 5: Solve for x
    x = 130,861,953,077.88/417,900.09
  6. Step 6: Final answer
    x = 313,141.72

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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.