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Finding the Fourth Proportional to 414,416.46, 571,893.90 and 233,128.53

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Solution

The fourth proportional to 414,416.46, 571,893.90 and 233,128.53 is: 321,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,416.46 : 571,893.90 = 233,128.53 : x
  2. Step 2: Convert to fraction form
    414,416.46/571,893.90 = 233,128.53/x
  3. Step 3: Cross multiply
    414,416.46x = 571,893.90 × 233,128.53
  4. Step 4: Simplify right side
    414,416.46x = 133,324,783,057.32
  5. Step 5: Solve for x
    x = 133,324,783,057.32/414,416.46
  6. Step 6: Final answer
    x = 321,716.91

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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.