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Finding the Fourth Proportional to 329,542.20, 494,313.30 and 152,395.20

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Solution

The fourth proportional to 329,542.20, 494,313.30 and 152,395.20 is: 228,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,542.20 : 494,313.30 = 152,395.20 : x
  2. Step 2: Convert to fraction form
    329,542.20/494,313.30 = 152,395.20/x
  3. Step 3: Cross multiply
    329,542.20x = 494,313.30 × 152,395.20
  4. Step 4: Simplify right side
    329,542.20x = 75,330,974,216.16
  5. Step 5: Solve for x
    x = 75,330,974,216.16/329,542.20
  6. Step 6: Final answer
    x = 228,592.80

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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.