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Finding the Fourth Proportional to 398,647.11, 597,631.98 and 185,538.78

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Solution

The fourth proportional to 398,647.11, 597,631.98 and 185,538.78 is: 278,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.11 : 597,631.98 = 185,538.78 : x
  2. Step 2: Convert to fraction form
    398,647.11/597,631.98 = 185,538.78/x
  3. Step 3: Cross multiply
    398,647.11x = 597,631.98 × 185,538.78
  4. Step 4: Simplify right side
    398,647.11x = 110,883,908,458.18
  5. Step 5: Solve for x
    x = 110,883,908,458.18/398,647.11
  6. Step 6: Final answer
    x = 278,150.54

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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.