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Finding the Fourth Proportional to 414,241.65, 621,356.13 and 186,376.32

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Solution

The fourth proportional to 414,241.65, 621,356.13 and 186,376.32 is: 279,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,241.65 : 621,356.13 = 186,376.32 : x
  2. Step 2: Convert to fraction form
    414,241.65/621,356.13 = 186,376.32/x
  3. Step 3: Cross multiply
    414,241.65x = 621,356.13 × 186,376.32
  4. Step 4: Simplify right side
    414,241.65x = 115,806,068,918.84
  5. Step 5: Solve for x
    x = 115,806,068,918.84/414,241.65
  6. Step 6: Final answer
    x = 279,561.63

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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.