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Finding the Fourth Proportional to 535,241.62, 802,862.44 and 180,225.92

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Solution

The fourth proportional to 535,241.62, 802,862.44 and 180,225.92 is: 270,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,241.62 : 802,862.44 = 180,225.92 : x
  2. Step 2: Convert to fraction form
    535,241.62/802,862.44 = 180,225.92/x
  3. Step 3: Cross multiply
    535,241.62x = 802,862.44 × 180,225.92
  4. Step 4: Simplify right side
    535,241.62x = 144,696,621,882.45
  5. Step 5: Solve for x
    x = 144,696,621,882.45/535,241.62
  6. Step 6: Final answer
    x = 270,338.88

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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.