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Finding the Fourth Proportional to 359,778.16, 496,494.57 and 198,633.52

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Solution

The fourth proportional to 359,778.16, 496,494.57 and 198,633.52 is: 274,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,778.16 : 496,494.57 = 198,633.52 : x
  2. Step 2: Convert to fraction form
    359,778.16/496,494.57 = 198,633.52/x
  3. Step 3: Cross multiply
    359,778.16x = 496,494.57 × 198,633.52
  4. Step 4: Simplify right side
    359,778.16x = 98,620,464,099.99
  5. Step 5: Solve for x
    x = 98,620,464,099.99/359,778.16
  6. Step 6: Final answer
    x = 274,114.65

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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.