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Finding the Fourth Proportional to 323,957.80, 447,051.72 and 180,742.11

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Solution

The fourth proportional to 323,957.80, 447,051.72 and 180,742.11 is: 249,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,957.80 : 447,051.72 = 180,742.11 : x
  2. Step 2: Convert to fraction form
    323,957.80/447,051.72 = 180,742.11/x
  3. Step 3: Cross multiply
    323,957.80x = 447,051.72 × 180,742.11
  4. Step 4: Simplify right side
    323,957.80x = 80,801,071,151.93
  5. Step 5: Solve for x
    x = 80,801,071,151.93/323,957.80
  6. Step 6: Final answer
    x = 249,418.51

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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.