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Finding the Fourth Proportional to 529,393.11, 794,024.01 and 313,380.38

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Solution

The fourth proportional to 529,393.11, 794,024.01 and 313,380.38 is: 470,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,393.11 : 794,024.01 = 313,380.38 : x
  2. Step 2: Convert to fraction form
    529,393.11/794,024.01 = 313,380.38/x
  3. Step 3: Cross multiply
    529,393.11x = 794,024.01 × 313,380.38
  4. Step 4: Simplify right side
    529,393.11x = 248,831,542,012.80
  5. Step 5: Solve for x
    x = 248,831,542,012.80/529,393.11
  6. Step 6: Final answer
    x = 470,031.70

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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.