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Finding the Fourth Proportional to 416,238.41, 574,410.44 and 225,251.75

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Solution

The fourth proportional to 416,238.41, 574,410.44 and 225,251.75 is: 310,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238.41 : 574,410.44 = 225,251.75 : x
  2. Step 2: Convert to fraction form
    416,238.41/574,410.44 = 225,251.75/x
  3. Step 3: Cross multiply
    416,238.41x = 574,410.44 × 225,251.75
  4. Step 4: Simplify right side
    416,238.41x = 129,386,956,828.27
  5. Step 5: Solve for x
    x = 129,386,956,828.27/416,238.41
  6. Step 6: Final answer
    x = 310,848.19

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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.