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Finding the Fourth Proportional to 269,411.90, 404,117.85 and 164,435.90

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Solution

The fourth proportional to 269,411.90, 404,117.85 and 164,435.90 is: 246,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,411.90 : 404,117.85 = 164,435.90 : x
  2. Step 2: Convert to fraction form
    269,411.90/404,117.85 = 164,435.90/x
  3. Step 3: Cross multiply
    269,411.90x = 404,117.85 × 164,435.90
  4. Step 4: Simplify right side
    269,411.90x = 66,451,482,370.82
  5. Step 5: Solve for x
    x = 66,451,482,370.82/269,411.90
  6. Step 6: Final answer
    x = 246,653.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.