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Finding the Fourth Proportional to 329,537.70, 494,306.55 and 152,390.70

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Solution

The fourth proportional to 329,537.70, 494,306.55 and 152,390.70 is: 228,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,537.70 : 494,306.55 = 152,390.70 : x
  2. Step 2: Convert to fraction form
    329,537.70/494,306.55 = 152,390.70/x
  3. Step 3: Cross multiply
    329,537.70x = 494,306.55 × 152,390.70
  4. Step 4: Simplify right side
    329,537.70x = 75,327,721,169.09
  5. Step 5: Solve for x
    x = 75,327,721,169.09/329,537.70
  6. Step 6: Final answer
    x = 228,586.05

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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.