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Finding the Fourth Proportional to 512,184.96, 706,520.34 and 297,297.36

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Solution

The fourth proportional to 512,184.96, 706,520.34 and 297,297.36 is: 410,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,184.96 : 706,520.34 = 297,297.36 : x
  2. Step 2: Convert to fraction form
    512,184.96/706,520.34 = 297,297.36/x
  3. Step 3: Cross multiply
    512,184.96x = 706,520.34 × 297,297.36
  4. Step 4: Simplify right side
    512,184.96x = 210,046,631,868.30
  5. Step 5: Solve for x
    x = 210,046,631,868.30/512,184.96
  6. Step 6: Final answer
    x = 410,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.