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Finding the Fourth Proportional to 486,014.20, 729,896.10 and 353,044.60

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Solution

The fourth proportional to 486,014.20, 729,896.10 and 353,044.60 is: 530,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,014.20 : 729,896.10 = 353,044.60 : x
  2. Step 2: Convert to fraction form
    486,014.20/729,896.10 = 353,044.60/x
  3. Step 3: Cross multiply
    486,014.20x = 729,896.10 × 353,044.60
  4. Step 4: Simplify right side
    486,014.20x = 257,685,876,666.06
  5. Step 5: Solve for x
    x = 257,685,876,666.06/486,014.20
  6. Step 6: Final answer
    x = 530,202.36

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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.