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Finding the Fourth Proportional to 414,379.94, 571,894.90 and 233,099.51

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Solution

The fourth proportional to 414,379.94, 571,894.90 and 233,099.51 is: 321,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,379.94 : 571,894.90 = 233,099.51 : x
  2. Step 2: Convert to fraction form
    414,379.94/571,894.90 = 233,099.51/x
  3. Step 3: Cross multiply
    414,379.94x = 571,894.90 × 233,099.51
  4. Step 4: Simplify right side
    414,379.94x = 133,308,417,519.28
  5. Step 5: Solve for x
    x = 133,308,417,519.28/414,379.94
  6. Step 6: Final answer
    x = 321,705.77

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Double scale
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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.