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Finding the Fourth Proportional to 416,082.48, 624,188.52 and 135,534.48

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Solution

The fourth proportional to 416,082.48, 624,188.52 and 135,534.48 is: 203,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,082.48 : 624,188.52 = 135,534.48 : x
  2. Step 2: Convert to fraction form
    416,082.48/624,188.52 = 135,534.48/x
  3. Step 3: Cross multiply
    416,082.48x = 624,188.52 × 135,534.48
  4. Step 4: Simplify right side
    416,082.48x = 84,599,066,480.17
  5. Step 5: Solve for x
    x = 84,599,066,480.17/416,082.48
  6. Step 6: Final answer
    x = 203,322.83

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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.