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Finding the Fourth Proportional to 543,272.90, 814,410.44 and 188,038.48

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Solution

The fourth proportional to 543,272.90, 814,410.44 and 188,038.48 is: 281,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,272.90 : 814,410.44 = 188,038.48 : x
  2. Step 2: Convert to fraction form
    543,272.90/814,410.44 = 188,038.48/x
  3. Step 3: Cross multiply
    543,272.90x = 814,410.44 × 188,038.48
  4. Step 4: Simplify right side
    543,272.90x = 153,140,501,233.73
  5. Step 5: Solve for x
    x = 153,140,501,233.73/543,272.90
  6. Step 6: Final answer
    x = 281,885.04

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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.