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Finding the Fourth Proportional to 321,253.95, 442,616.76 and 212,164.56

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Solution

The fourth proportional to 321,253.95, 442,616.76 and 212,164.56 is: 292,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,253.95 : 442,616.76 = 212,164.56 : x
  2. Step 2: Convert to fraction form
    321,253.95/442,616.76 = 212,164.56/x
  3. Step 3: Cross multiply
    321,253.95x = 442,616.76 × 212,164.56
  4. Step 4: Simplify right side
    321,253.95x = 93,907,590,134.03
  5. Step 5: Solve for x
    x = 93,907,590,134.03/321,253.95
  6. Step 6: Final answer
    x = 292,315.75

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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.