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Finding the Fourth Proportional to 416,246.56, 574,421.96 and 225,259.96

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Solution

The fourth proportional to 416,246.56, 574,421.96 and 225,259.96 is: 310,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,246.56 : 574,421.96 = 225,259.96 : x
  2. Step 2: Convert to fraction form
    416,246.56/574,421.96 = 225,259.96/x
  3. Step 3: Cross multiply
    416,246.56x = 574,421.96 × 225,259.96
  4. Step 4: Simplify right side
    416,246.56x = 129,394,267,732.72
  5. Step 5: Solve for x
    x = 129,394,267,732.72/416,246.56
  6. Step 6: Final answer
    x = 310,859.67

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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.