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Finding the Fourth Proportional to 462,328.37, 638,209.61 and 281,098.20

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Solution

The fourth proportional to 462,328.37, 638,209.61 and 281,098.20 is: 388,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,328.37 : 638,209.61 = 281,098.20 : x
  2. Step 2: Convert to fraction form
    462,328.37/638,209.61 = 281,098.20/x
  3. Step 3: Cross multiply
    462,328.37x = 638,209.61 × 281,098.20
  4. Step 4: Simplify right side
    462,328.37x = 179,399,571,188.21
  5. Step 5: Solve for x
    x = 179,399,571,188.21/462,328.37
  6. Step 6: Final answer
    x = 388,034.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.