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Finding the Fourth Proportional to 414,153.78, 621,230.69 and 133,712.34

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Solution

The fourth proportional to 414,153.78, 621,230.69 and 133,712.34 is: 200,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,153.78 : 621,230.69 = 133,712.34 : x
  2. Step 2: Convert to fraction form
    414,153.78/621,230.69 = 133,712.34/x
  3. Step 3: Cross multiply
    414,153.78x = 621,230.69 × 133,712.34
  4. Step 4: Simplify right side
    414,153.78x = 83,066,208,571.15
  5. Step 5: Solve for x
    x = 83,066,208,571.15/414,153.78
  6. Step 6: Final answer
    x = 200,568.51

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1.5x scale

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.