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Finding the Fourth Proportional to 262,767.40, 362,619.36 and 149,590

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Solution

The fourth proportional to 262,767.40, 362,619.36 and 149,590 is: 206,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,767.40 : 362,619.36 = 149,590 : x
  2. Step 2: Convert to fraction form
    262,767.40/362,619.36 = 149,590/x
  3. Step 3: Cross multiply
    262,767.40x = 362,619.36 × 149,590
  4. Step 4: Simplify right side
    262,767.40x = 54,244,230,062.40
  5. Step 5: Solve for x
    x = 54,244,230,062.40/262,767.40
  6. Step 6: Final answer
    x = 206,434.40

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