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Finding the Fourth Proportional to 329,708.10, 494,562.15 and 152,561.10

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Solution

The fourth proportional to 329,708.10, 494,562.15 and 152,561.10 is: 228,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,708.10 : 494,562.15 = 152,561.10 : x
  2. Step 2: Convert to fraction form
    329,708.10/494,562.15 = 152,561.10/x
  3. Step 3: Cross multiply
    329,708.10x = 494,562.15 × 152,561.10
  4. Step 4: Simplify right side
    329,708.10x = 75,450,945,622.37
  5. Step 5: Solve for x
    x = 75,450,945,622.37/329,708.10
  6. Step 6: Final answer
    x = 228,841.65

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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.