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Finding the Fourth Proportional to 535,175.78, 802,201.72 and 180,066.50

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Solution

The fourth proportional to 535,175.78, 802,201.72 and 180,066.50 is: 269,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,175.78 : 802,201.72 = 180,066.50 : x
  2. Step 2: Convert to fraction form
    535,175.78/802,201.72 = 180,066.50/x
  3. Step 3: Cross multiply
    535,175.78x = 802,201.72 × 180,066.50
  4. Step 4: Simplify right side
    535,175.78x = 144,449,656,014.38
  5. Step 5: Solve for x
    x = 144,449,656,014.38/535,175.78
  6. Step 6: Final answer
    x = 269,910.67

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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.