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Finding the Fourth Proportional to 535,137.68, 802,824.84 and 180,140

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Solution

The fourth proportional to 535,137.68, 802,824.84 and 180,140 is: 270,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,137.68 : 802,824.84 = 180,140 : x
  2. Step 2: Convert to fraction form
    535,137.68/802,824.84 = 180,140/x
  3. Step 3: Cross multiply
    535,137.68x = 802,824.84 × 180,140
  4. Step 4: Simplify right side
    535,137.68x = 144,620,866,677.60
  5. Step 5: Solve for x
    x = 144,620,866,677.60/535,137.68
  6. Step 6: Final answer
    x = 270,249.83

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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.