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Finding the Fourth Proportional to 414,246.66, 621,363.62 and 186,381.32

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Solution

The fourth proportional to 414,246.66, 621,363.62 and 186,381.32 is: 279,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,246.66 : 621,363.62 = 186,381.32 : x
  2. Step 2: Convert to fraction form
    414,246.66/621,363.62 = 186,381.32/x
  3. Step 3: Cross multiply
    414,246.66x = 621,363.62 × 186,381.32
  4. Step 4: Simplify right side
    414,246.66x = 115,810,571,695.58
  5. Step 5: Solve for x
    x = 115,810,571,695.58/414,246.66
  6. Step 6: Final answer
    x = 279,569.11

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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.