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Finding the Fourth Proportional to 462,415.20, 693,104.40 and 237,688.80

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Solution

The fourth proportional to 462,415.20, 693,104.40 and 237,688.80 is: 356,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,415.20 : 693,104.40 = 237,688.80 : x
  2. Step 2: Convert to fraction form
    462,415.20/693,104.40 = 237,688.80/x
  3. Step 3: Cross multiply
    462,415.20x = 693,104.40 × 237,688.80
  4. Step 4: Simplify right side
    462,415.20x = 164,743,153,110.72
  5. Step 5: Solve for x
    x = 164,743,153,110.72/462,415.20
  6. Step 6: Final answer
    x = 356,266.73

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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.