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Finding the Fourth Proportional to 416,538.16, 624,728.34 and 203,091.88

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Solution

The fourth proportional to 416,538.16, 624,728.34 and 203,091.88 is: 304,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,538.16 : 624,728.34 = 203,091.88 : x
  2. Step 2: Convert to fraction form
    416,538.16/624,728.34 = 203,091.88/x
  3. Step 3: Cross multiply
    416,538.16x = 624,728.34 × 203,091.88
  4. Step 4: Simplify right side
    416,538.16x = 126,877,253,059.88
  5. Step 5: Solve for x
    x = 126,877,253,059.88/416,538.16
  6. Step 6: Final answer
    x = 304,599.35

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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.