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Finding the Fourth Proportional to 703,850.50, 970,238.82 and 431,413.48

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Solution

The fourth proportional to 703,850.50, 970,238.82 and 431,413.48 is: 594,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,850.50 : 970,238.82 = 431,413.48 : x
  2. Step 2: Convert to fraction form
    703,850.50/970,238.82 = 431,413.48/x
  3. Step 3: Cross multiply
    703,850.50x = 970,238.82 × 431,413.48
  4. Step 4: Simplify right side
    703,850.50x = 418,574,105,767.29
  5. Step 5: Solve for x
    x = 418,574,105,767.29/703,850.50
  6. Step 6: Final answer
    x = 594,691.78

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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.