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Finding the Fourth Proportional to 432,313.61, 648,468.99 and 116,770.61

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Solution

The fourth proportional to 432,313.61, 648,468.99 and 116,770.61 is: 175,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,313.61 : 648,468.99 = 116,770.61 : x
  2. Step 2: Convert to fraction form
    432,313.61/648,468.99 = 116,770.61/x
  3. Step 3: Cross multiply
    432,313.61x = 648,468.99 × 116,770.61
  4. Step 4: Simplify right side
    432,313.61x = 75,722,121,149.56
  5. Step 5: Solve for x
    x = 75,722,121,149.56/432,313.61
  6. Step 6: Final answer
    x = 175,155.54

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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.