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Finding the Fourth Proportional to 322,071.81, 444,513.75 and 186,184.53

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Solution

The fourth proportional to 322,071.81, 444,513.75 and 186,184.53 is: 256,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,071.81 : 444,513.75 = 186,184.53 : x
  2. Step 2: Convert to fraction form
    322,071.81/444,513.75 = 186,184.53/x
  3. Step 3: Cross multiply
    322,071.81x = 444,513.75 × 186,184.53
  4. Step 4: Simplify right side
    322,071.81x = 82,761,583,622.29
  5. Step 5: Solve for x
    x = 82,761,583,622.29/322,071.81
  6. Step 6: Final answer
    x = 256,966.24

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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.