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Finding the Fourth Proportional to 526,396.74, 789,906.15 and 194,206.02

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Solution

The fourth proportional to 526,396.74, 789,906.15 and 194,206.02 is: 291,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,396.74 : 789,906.15 = 194,206.02 : x
  2. Step 2: Convert to fraction form
    526,396.74/789,906.15 = 194,206.02/x
  3. Step 3: Cross multiply
    526,396.74x = 789,906.15 × 194,206.02
  4. Step 4: Simplify right side
    526,396.74x = 153,404,529,565.02
  5. Step 5: Solve for x
    x = 153,404,529,565.02/526,396.74
  6. Step 6: Final answer
    x = 291,423.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.