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Finding the Fourth Proportional to 262,505.47, 362,064.17 and 197,977.40

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Solution

The fourth proportional to 262,505.47, 362,064.17 and 197,977.40 is: 273,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,505.47 : 362,064.17 = 197,977.40 : x
  2. Step 2: Convert to fraction form
    262,505.47/362,064.17 = 197,977.40/x
  3. Step 3: Cross multiply
    262,505.47x = 362,064.17 × 197,977.40
  4. Step 4: Simplify right side
    262,505.47x = 71,680,522,019.87
  5. Step 5: Solve for x
    x = 71,680,522,019.87/262,505.47
  6. Step 6: Final answer
    x = 273,062.97

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Why These Related Problems?

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