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Finding the Fourth Proportional to 462,493.44, 693,280.89 and 222,557.67

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Solution

The fourth proportional to 462,493.44, 693,280.89 and 222,557.67 is: 333,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,493.44 : 693,280.89 = 222,557.67 : x
  2. Step 2: Convert to fraction form
    462,493.44/693,280.89 = 222,557.67/x
  3. Step 3: Cross multiply
    462,493.44x = 693,280.89 × 222,557.67
  4. Step 4: Simplify right side
    462,493.44x = 154,294,979,533.93
  5. Step 5: Solve for x
    x = 154,294,979,533.93/462,493.44
  6. Step 6: Final answer
    x = 333,615.50

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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.