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Finding the Fourth Proportional to 416,861.21, 575,270.48 and 225,874.55

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Solution

The fourth proportional to 416,861.21, 575,270.48 and 225,874.55 is: 311,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,861.21 : 575,270.48 = 225,874.55 : x
  2. Step 2: Convert to fraction form
    416,861.21/575,270.48 = 225,874.55/x
  3. Step 3: Cross multiply
    416,861.21x = 575,270.48 × 225,874.55
  4. Step 4: Simplify right side
    416,861.21x = 129,938,962,801.15
  5. Step 5: Solve for x
    x = 129,938,962,801.15/416,861.21
  6. Step 6: Final answer
    x = 311,707.97

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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.