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Finding the Fourth Proportional to 235,473.89, 325,809.66 and 205,322.04

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Solution

The fourth proportional to 235,473.89, 325,809.66 and 205,322.04 is: 284,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,473.89 : 325,809.66 = 205,322.04 : x
  2. Step 2: Convert to fraction form
    235,473.89/325,809.66 = 205,322.04/x
  3. Step 3: Cross multiply
    235,473.89x = 325,809.66 × 205,322.04
  4. Step 4: Simplify right side
    235,473.89x = 66,895,904,042.91
  5. Step 5: Solve for x
    x = 66,895,904,042.91/235,473.89
  6. Step 6: Final answer
    x = 284,090.54

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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.