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Finding the Fourth Proportional to 535,233.63, 802,850.44 and 180,217.92

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Solution

The fourth proportional to 535,233.63, 802,850.44 and 180,217.92 is: 270,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,233.63 : 802,850.44 = 180,217.92 : x
  2. Step 2: Convert to fraction form
    535,233.63/802,850.44 = 180,217.92/x
  3. Step 3: Cross multiply
    535,233.63x = 802,850.44 × 180,217.92
  4. Step 4: Simplify right side
    535,233.63x = 144,688,034,811.30
  5. Step 5: Solve for x
    x = 144,688,034,811.30/535,233.63
  6. Step 6: Final answer
    x = 270,326.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.