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Finding the Fourth Proportional to 329,051.67, 454,249.16 and 208,251.51

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Solution

The fourth proportional to 329,051.67, 454,249.16 and 208,251.51 is: 287,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,051.67 : 454,249.16 = 208,251.51 : x
  2. Step 2: Convert to fraction form
    329,051.67/454,249.16 = 208,251.51/x
  3. Step 3: Cross multiply
    329,051.67x = 454,249.16 × 208,251.51
  4. Step 4: Simplify right side
    329,051.67x = 94,598,073,292.42
  5. Step 5: Solve for x
    x = 94,598,073,292.42/329,051.67
  6. Step 6: Final answer
    x = 287,486.99

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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.