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Finding the Fourth Proportional to 322,346.31, 444,811.86 and 186,389.06

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Solution

The fourth proportional to 322,346.31, 444,811.86 and 186,389.06 is: 257,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,346.31 : 444,811.86 = 186,389.06 : x
  2. Step 2: Convert to fraction form
    322,346.31/444,811.86 = 186,389.06/x
  3. Step 3: Cross multiply
    322,346.31x = 444,811.86 × 186,389.06
  4. Step 4: Simplify right side
    322,346.31x = 82,908,065,574.28
  5. Step 5: Solve for x
    x = 82,908,065,574.28/322,346.31
  6. Step 6: Final answer
    x = 257,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.