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Finding the Fourth Proportional to 462,029.22, 692,638.95 and 222,023.61

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Solution

The fourth proportional to 462,029.22, 692,638.95 and 222,023.61 is: 332,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,029.22 : 692,638.95 = 222,023.61 : x
  2. Step 2: Convert to fraction form
    462,029.22/692,638.95 = 222,023.61/x
  3. Step 3: Cross multiply
    462,029.22x = 692,638.95 × 222,023.61
  4. Step 4: Simplify right side
    462,029.22x = 153,782,200,105.61
  5. Step 5: Solve for x
    x = 153,782,200,105.61/462,029.22
  6. Step 6: Final answer
    x = 332,840.85

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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.