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Finding the Fourth Proportional to 321,241.95, 442,600.20 and 212,152.57

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Solution

The fourth proportional to 321,241.95, 442,600.20 and 212,152.57 is: 292,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,241.95 : 442,600.20 = 212,152.57 : x
  2. Step 2: Convert to fraction form
    321,241.95/442,600.20 = 212,152.57/x
  3. Step 3: Cross multiply
    321,241.95x = 442,600.20 × 212,152.57
  4. Step 4: Simplify right side
    321,241.95x = 93,898,768,806.01
  5. Step 5: Solve for x
    x = 93,898,768,806.01/321,241.95
  6. Step 6: Final answer
    x = 292,299.21

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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.