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Finding the Fourth Proportional to 414,210.75, 620,319.66 and 236,178.03

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Solution

The fourth proportional to 414,210.75, 620,319.66 and 236,178.03 is: 353,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,210.75 : 620,319.66 = 236,178.03 : x
  2. Step 2: Convert to fraction form
    414,210.75/620,319.66 = 236,178.03/x
  3. Step 3: Cross multiply
    414,210.75x = 620,319.66 × 236,178.03
  4. Step 4: Simplify right side
    414,210.75x = 146,505,875,269.07
  5. Step 5: Solve for x
    x = 146,505,875,269.07/414,210.75
  6. Step 6: Final answer
    x = 353,698.87

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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.