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Finding the Fourth Proportional to 273,695.10, 410,197.05 and 242,591.10

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Solution

The fourth proportional to 273,695.10, 410,197.05 and 242,591.10 is: 363,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,695.10 : 410,197.05 = 242,591.10 : x
  2. Step 2: Convert to fraction form
    273,695.10/410,197.05 = 242,591.10/x
  3. Step 3: Cross multiply
    273,695.10x = 410,197.05 × 242,591.10
  4. Step 4: Simplify right side
    273,695.10x = 99,510,153,576.26
  5. Step 5: Solve for x
    x = 99,510,153,576.26/273,695.10
  6. Step 6: Final answer
    x = 363,580.33

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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.