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Finding the Fourth Proportional to 414,207.66, 620,314.98 and 236,174.94

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Solution

The fourth proportional to 414,207.66, 620,314.98 and 236,174.94 is: 353,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,207.66 : 620,314.98 = 236,174.94 : x
  2. Step 2: Convert to fraction form
    414,207.66/620,314.98 = 236,174.94/x
  3. Step 3: Cross multiply
    414,207.66x = 620,314.98 × 236,174.94
  4. Step 4: Simplify right side
    414,207.66x = 146,502,853,182.60
  5. Step 5: Solve for x
    x = 146,502,853,182.60/414,207.66
  6. Step 6: Final answer
    x = 353,694.22

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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.