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Finding the Fourth Proportional to 414,376.77, 621,384.09 and 209,085.24

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Solution

The fourth proportional to 414,376.77, 621,384.09 and 209,085.24 is: 313,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,376.77 : 621,384.09 = 209,085.24 : x
  2. Step 2: Convert to fraction form
    414,376.77/621,384.09 = 209,085.24/x
  3. Step 3: Cross multiply
    414,376.77x = 621,384.09 × 209,085.24
  4. Step 4: Simplify right side
    414,376.77x = 129,922,241,589.83
  5. Step 5: Solve for x
    x = 129,922,241,589.83/414,376.77
  6. Step 6: Final answer
    x = 313,536.50

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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.