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Finding the Fourth Proportional to 414,438.26, 621,732.56 and 171,279.74

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Solution

The fourth proportional to 414,438.26, 621,732.56 and 171,279.74 is: 256,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,438.26 : 621,732.56 = 171,279.74 : x
  2. Step 2: Convert to fraction form
    414,438.26/621,732.56 = 171,279.74/x
  3. Step 3: Cross multiply
    414,438.26x = 621,732.56 × 171,279.74
  4. Step 4: Simplify right side
    414,438.26x = 106,490,191,924.27
  5. Step 5: Solve for x
    x = 106,490,191,924.27/414,438.26
  6. Step 6: Final answer
    x = 256,950.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.