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Finding the Fourth Proportional to 414,210.66, 620,319.48 and 236,177.94

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Solution

The fourth proportional to 414,210.66, 620,319.48 and 236,177.94 is: 353,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,210.66 : 620,319.48 = 236,177.94 : x
  2. Step 2: Convert to fraction form
    414,210.66/620,319.48 = 236,177.94/x
  3. Step 3: Cross multiply
    414,210.66x = 620,319.48 × 236,177.94
  4. Step 4: Simplify right side
    414,210.66x = 146,505,776,928.27
  5. Step 5: Solve for x
    x = 146,505,776,928.27/414,210.66
  6. Step 6: Final answer
    x = 353,698.71

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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.