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Finding the Fourth Proportional to 604,103.24, 906,150.80 and 205,024.96

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Solution

The fourth proportional to 604,103.24, 906,150.80 and 205,024.96 is: 307,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,103.24 : 906,150.80 = 205,024.96 : x
  2. Step 2: Convert to fraction form
    604,103.24/906,150.80 = 205,024.96/x
  3. Step 3: Cross multiply
    604,103.24x = 906,150.80 × 205,024.96
  4. Step 4: Simplify right side
    604,103.24x = 185,783,531,523.97
  5. Step 5: Solve for x
    x = 185,783,531,523.97/604,103.24
  6. Step 6: Final answer
    x = 307,536.06

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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.