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Finding the Fourth Proportional to 262,586, 362,368.68 and 149,474

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Solution

The fourth proportional to 262,586, 362,368.68 and 149,474 is: 206,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,586 : 362,368.68 = 149,474 : x
  2. Step 2: Convert to fraction form
    262,586/362,368.68 = 149,474/x
  3. Step 3: Cross multiply
    262,586x = 362,368.68 × 149,474
  4. Step 4: Simplify right side
    262,586x = 54,164,696,074.32
  5. Step 5: Solve for x
    x = 54,164,696,074.32/262,586
  6. Step 6: Final answer
    x = 206,274.12

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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.