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Finding the Fourth Proportional to 414,150.89, 620,119.13 and 236,413.40

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Solution

The fourth proportional to 414,150.89, 620,119.13 and 236,413.40 is: 353,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150.89 : 620,119.13 = 236,413.40 : x
  2. Step 2: Convert to fraction form
    414,150.89/620,119.13 = 236,413.40/x
  3. Step 3: Cross multiply
    414,150.89x = 620,119.13 × 236,413.40
  4. Step 4: Simplify right side
    414,150.89x = 146,604,467,645.68
  5. Step 5: Solve for x
    x = 146,604,467,645.68/414,150.89
  6. Step 6: Final answer
    x = 353,988.06

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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.