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Finding the Fourth Proportional to 262,754.40, 362,601.42 and 149,577

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Solution

The fourth proportional to 262,754.40, 362,601.42 and 149,577 is: 206,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,754.40 : 362,601.42 = 149,577 : x
  2. Step 2: Convert to fraction form
    262,754.40/362,601.42 = 149,577/x
  3. Step 3: Cross multiply
    262,754.40x = 362,601.42 × 149,577
  4. Step 4: Simplify right side
    262,754.40x = 54,236,832,599.34
  5. Step 5: Solve for x
    x = 54,236,832,599.34/262,754.40
  6. Step 6: Final answer
    x = 206,416.46

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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.