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Finding the Fourth Proportional to 323,963.28, 447,070.59 and 180,734.22

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Solution

The fourth proportional to 323,963.28, 447,070.59 and 180,734.22 is: 249,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,963.28 : 447,070.59 = 180,734.22 : x
  2. Step 2: Convert to fraction form
    323,963.28/447,070.59 = 180,734.22/x
  3. Step 3: Cross multiply
    323,963.28x = 447,070.59 × 180,734.22
  4. Step 4: Simplify right side
    323,963.28x = 80,800,954,368.59
  5. Step 5: Solve for x
    x = 80,800,954,368.59/323,963.28
  6. Step 6: Final answer
    x = 249,413.93

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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.