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Finding the Fourth Proportional to 471,039.77, 706,793.38 and 186,724.31

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Solution

The fourth proportional to 471,039.77, 706,793.38 and 186,724.31 is: 280,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,039.77 : 706,793.38 = 186,724.31 : x
  2. Step 2: Convert to fraction form
    471,039.77/706,793.38 = 186,724.31/x
  3. Step 3: Cross multiply
    471,039.77x = 706,793.38 × 186,724.31
  4. Step 4: Simplify right side
    471,039.77x = 131,975,502,192.29
  5. Step 5: Solve for x
    x = 131,975,502,192.29/471,039.77
  6. Step 6: Final answer
    x = 280,179.11

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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.