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Finding the Fourth Proportional to 323,965.83, 447,071.58 and 180,725.76

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Solution

The fourth proportional to 323,965.83, 447,071.58 and 180,725.76 is: 249,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,965.83 : 447,071.58 = 180,725.76 : x
  2. Step 2: Convert to fraction form
    323,965.83/447,071.58 = 180,725.76/x
  3. Step 3: Cross multiply
    323,965.83x = 447,071.58 × 180,725.76
  4. Step 4: Simplify right side
    323,965.83x = 80,797,351,069.90
  5. Step 5: Solve for x
    x = 80,797,351,069.90/323,965.83
  6. Step 6: Final answer
    x = 249,400.84

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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.