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Finding the Fourth Proportional to 802,098.22, 1,203,221.54 and 262,357.54

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Solution

The fourth proportional to 802,098.22, 1,203,221.54 and 262,357.54 is: 393,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,098.22 : 1,203,221.54 = 262,357.54 : x
  2. Step 2: Convert to fraction form
    802,098.22/1,203,221.54 = 262,357.54/x
  3. Step 3: Cross multiply
    802,098.22x = 1,203,221.54 × 262,357.54
  4. Step 4: Simplify right side
    802,098.22x = 315,674,243,309.41
  5. Step 5: Solve for x
    x = 315,674,243,309.41/802,098.22
  6. Step 6: Final answer
    x = 393,560.58

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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.