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Finding the Fourth Proportional to 465,024, 697,542.48 and 132,600

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Solution

The fourth proportional to 465,024, 697,542.48 and 132,600 is: 198,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,024 : 697,542.48 = 132,600 : x
  2. Step 2: Convert to fraction form
    465,024/697,542.48 = 132,600/x
  3. Step 3: Cross multiply
    465,024x = 697,542.48 × 132,600
  4. Step 4: Simplify right side
    465,024x = 92,494,132,848
  5. Step 5: Solve for x
    x = 92,494,132,848/465,024
  6. Step 6: Final answer
    x = 198,901.85

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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.