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Finding the Fourth Proportional to 262,506.97, 362,066.23 and 197,978.90

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Solution

The fourth proportional to 262,506.97, 362,066.23 and 197,978.90 is: 273,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,506.97 : 362,066.23 = 197,978.90 : x
  2. Step 2: Convert to fraction form
    262,506.97/362,066.23 = 197,978.90/x
  3. Step 3: Cross multiply
    262,506.97x = 362,066.23 × 197,978.90
  4. Step 4: Simplify right side
    262,506.97x = 71,681,473,942.55
  5. Step 5: Solve for x
    x = 71,681,473,942.55/262,506.97
  6. Step 6: Final answer
    x = 273,065.03

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1.5x scale

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.