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Finding the Fourth Proportional to 362,104.55, 542,981.46 and 212,393.87

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Solution

The fourth proportional to 362,104.55, 542,981.46 and 212,393.87 is: 318,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,104.55 : 542,981.46 = 212,393.87 : x
  2. Step 2: Convert to fraction form
    362,104.55/542,981.46 = 212,393.87/x
  3. Step 3: Cross multiply
    362,104.55x = 542,981.46 × 212,393.87
  4. Step 4: Simplify right side
    362,104.55x = 115,325,933,627.65
  5. Step 5: Solve for x
    x = 115,325,933,627.65/362,104.55
  6. Step 6: Final answer
    x = 318,487.94

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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.