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Finding the Fourth Proportional to 407,171.39, 610,623.36 and 137,227.10

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Solution

The fourth proportional to 407,171.39, 610,623.36 and 137,227.10 is: 205,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171.39 : 610,623.36 = 137,227.10 : x
  2. Step 2: Convert to fraction form
    407,171.39/610,623.36 = 137,227.10/x
  3. Step 3: Cross multiply
    407,171.39x = 610,623.36 × 137,227.10
  4. Step 4: Simplify right side
    407,171.39x = 83,794,069,831.94
  5. Step 5: Solve for x
    x = 83,794,069,831.94/407,171.39
  6. Step 6: Final answer
    x = 205,795.58

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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.