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Finding the Fourth Proportional to 529,404.78, 794,255.40 and 214,083.12

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Solution

The fourth proportional to 529,404.78, 794,255.40 and 214,083.12 is: 321,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,404.78 : 794,255.40 = 214,083.12 : x
  2. Step 2: Convert to fraction form
    529,404.78/794,255.40 = 214,083.12/x
  3. Step 3: Cross multiply
    529,404.78x = 794,255.40 × 214,083.12
  4. Step 4: Simplify right side
    529,404.78x = 170,036,674,108.85
  5. Step 5: Solve for x
    x = 170,036,674,108.85/529,404.78
  6. Step 6: Final answer
    x = 321,184.62

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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.