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Finding the Fourth Proportional to 356,052.48, 491,352.38 and 194,907.64

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Solution

The fourth proportional to 356,052.48, 491,352.38 and 194,907.64 is: 268,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,052.48 : 491,352.38 = 194,907.64 : x
  2. Step 2: Convert to fraction form
    356,052.48/491,352.38 = 194,907.64/x
  3. Step 3: Cross multiply
    356,052.48x = 491,352.38 × 194,907.64
  4. Step 4: Simplify right side
    356,052.48x = 95,768,330,337.42
  5. Step 5: Solve for x
    x = 95,768,330,337.42/356,052.48
  6. Step 6: Final answer
    x = 268,972.51

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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.