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Finding the Fourth Proportional to 322,185.84, 445,093.92 and 212,064.24

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Solution

The fourth proportional to 322,185.84, 445,093.92 and 212,064.24 is: 292,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,185.84 : 445,093.92 = 212,064.24 : x
  2. Step 2: Convert to fraction form
    322,185.84/445,093.92 = 212,064.24/x
  3. Step 3: Cross multiply
    322,185.84x = 445,093.92 × 212,064.24
  4. Step 4: Simplify right side
    322,185.84x = 94,388,503,873.42
  5. Step 5: Solve for x
    x = 94,388,503,873.42/322,185.84
  6. Step 6: Final answer
    x = 292,962.92

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1.5x scale

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.