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Finding the Fourth Proportional to 241,874.32, 333,670.44 and 208,282

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Solution

The fourth proportional to 241,874.32, 333,670.44 and 208,282 is: 287,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,874.32 : 333,670.44 = 208,282 : x
  2. Step 2: Convert to fraction form
    241,874.32/333,670.44 = 208,282/x
  3. Step 3: Cross multiply
    241,874.32x = 333,670.44 × 208,282
  4. Step 4: Simplify right side
    241,874.32x = 69,497,546,584.08
  5. Step 5: Solve for x
    x = 69,497,546,584.08/241,874.32
  6. Step 6: Final answer
    x = 287,329.17

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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.