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Finding the Fourth Proportional to 701,168.16, 967,688.95 and 406,882.71

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Solution

The fourth proportional to 701,168.16, 967,688.95 and 406,882.71 is: 561,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,168.16 : 967,688.95 = 406,882.71 : x
  2. Step 2: Convert to fraction form
    701,168.16/967,688.95 = 406,882.71/x
  3. Step 3: Cross multiply
    701,168.16x = 967,688.95 × 406,882.71
  4. Step 4: Simplify right side
    701,168.16x = 393,735,902,413.06
  5. Step 5: Solve for x
    x = 393,735,902,413.06/701,168.16
  6. Step 6: Final answer
    x = 561,542.76

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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.