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Finding the Fourth Proportional to 471,137.25, 706,939.40 and 186,821.71

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Solution

The fourth proportional to 471,137.25, 706,939.40 and 186,821.71 is: 280,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,137.25 : 706,939.40 = 186,821.71 : x
  2. Step 2: Convert to fraction form
    471,137.25/706,939.40 = 186,821.71/x
  3. Step 3: Cross multiply
    471,137.25x = 706,939.40 × 186,821.71
  4. Step 4: Simplify right side
    471,137.25x = 132,071,627,574.37
  5. Step 5: Solve for x
    x = 132,071,627,574.37/471,137.25
  6. Step 6: Final answer
    x = 280,325.17

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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.