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Finding the Fourth Proportional to 281,321.98, 421,691.37 and 175,898.86

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Solution

The fourth proportional to 281,321.98, 421,691.37 and 175,898.86 is: 263,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,321.98 : 421,691.37 = 175,898.86 : x
  2. Step 2: Convert to fraction form
    281,321.98/421,691.37 = 175,898.86/x
  3. Step 3: Cross multiply
    281,321.98x = 421,691.37 × 175,898.86
  4. Step 4: Simplify right side
    281,321.98x = 74,175,031,254.84
  5. Step 5: Solve for x
    x = 74,175,031,254.84/281,321.98
  6. Step 6: Final answer
    x = 263,665.96

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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.