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Finding the Fourth Proportional to 551,508.53, 827,263.44 and 172,431.24

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Solution

The fourth proportional to 551,508.53, 827,263.44 and 172,431.24 is: 258,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,508.53 : 827,263.44 = 172,431.24 : x
  2. Step 2: Convert to fraction form
    551,508.53/827,263.44 = 172,431.24/x
  3. Step 3: Cross multiply
    551,508.53x = 827,263.44 × 172,431.24
  4. Step 4: Simplify right side
    551,508.53x = 142,646,060,765.87
  5. Step 5: Solve for x
    x = 142,646,060,765.87/551,508.53
  6. Step 6: Final answer
    x = 258,647.06

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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.