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Finding the Fourth Proportional to 364,505.12, 503,029.14 and 198,942.13

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Solution

The fourth proportional to 364,505.12, 503,029.14 and 198,942.13 is: 274,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,505.12 : 503,029.14 = 198,942.13 : x
  2. Step 2: Convert to fraction form
    364,505.12/503,029.14 = 198,942.13/x
  3. Step 3: Cross multiply
    364,505.12x = 503,029.14 × 198,942.13
  4. Step 4: Simplify right side
    364,505.12x = 100,073,686,808.74
  5. Step 5: Solve for x
    x = 100,073,686,808.74/364,505.12
  6. Step 6: Final answer
    x = 274,546.73

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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.