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Finding the Fourth Proportional to 262,774.40, 362,629.02 and 149,597

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Solution

The fourth proportional to 262,774.40, 362,629.02 and 149,597 is: 206,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,774.40 : 362,629.02 = 149,597 : x
  2. Step 2: Convert to fraction form
    262,774.40/362,629.02 = 149,597/x
  3. Step 3: Cross multiply
    262,774.40x = 362,629.02 × 149,597
  4. Step 4: Simplify right side
    262,774.40x = 54,248,213,504.94
  5. Step 5: Solve for x
    x = 54,248,213,504.94/262,774.40
  6. Step 6: Final answer
    x = 206,444.06

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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.