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Finding the Fourth Proportional to 323,955.81, 447,054.66 and 180,718.25

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Solution

The fourth proportional to 323,955.81, 447,054.66 and 180,718.25 is: 249,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,955.81 : 447,054.66 = 180,718.25 : x
  2. Step 2: Convert to fraction form
    323,955.81/447,054.66 = 180,718.25/x
  3. Step 3: Cross multiply
    323,955.81x = 447,054.66 × 180,718.25
  4. Step 4: Simplify right side
    323,955.81x = 80,790,933,574.27
  5. Step 5: Solve for x
    x = 80,790,933,574.27/323,955.81
  6. Step 6: Final answer
    x = 249,388.75

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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.