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Finding the Fourth Proportional to 529,454.30, 794,575.11 and 213,913.94

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Solution

The fourth proportional to 529,454.30, 794,575.11 and 213,913.94 is: 321,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,454.30 : 794,575.11 = 213,913.94 : x
  2. Step 2: Convert to fraction form
    529,454.30/794,575.11 = 213,913.94/x
  3. Step 3: Cross multiply
    529,454.30x = 794,575.11 × 213,913.94
  4. Step 4: Simplify right side
    529,454.30x = 169,970,692,406.03
  5. Step 5: Solve for x
    x = 169,970,692,406.03/529,454.30
  6. Step 6: Final answer
    x = 321,029.96

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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.