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Finding the Fourth Proportional to 313,781.58, 433,025.19 and 192,991.14

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Solution

The fourth proportional to 313,781.58, 433,025.19 and 192,991.14 is: 266,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,781.58 : 433,025.19 = 192,991.14 : x
  2. Step 2: Convert to fraction form
    313,781.58/433,025.19 = 192,991.14/x
  3. Step 3: Cross multiply
    313,781.58x = 433,025.19 × 192,991.14
  4. Step 4: Simplify right side
    313,781.58x = 83,570,025,066.82
  5. Step 5: Solve for x
    x = 83,570,025,066.82/313,781.58
  6. Step 6: Final answer
    x = 266,331.84

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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.