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Finding the Fourth Proportional to 432,083.70, 648,125.55 and 296,781.30

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Solution

The fourth proportional to 432,083.70, 648,125.55 and 296,781.30 is: 445,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,083.70 : 648,125.55 = 296,781.30 : x
  2. Step 2: Convert to fraction form
    432,083.70/648,125.55 = 296,781.30/x
  3. Step 3: Cross multiply
    432,083.70x = 648,125.55 × 296,781.30
  4. Step 4: Simplify right side
    432,083.70x = 192,351,543,292.22
  5. Step 5: Solve for x
    x = 192,351,543,292.22/432,083.70
  6. Step 6: Final answer
    x = 445,171.95

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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.