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Finding the Fourth Proportional to 432,956.95, 649,160.32 and 379,755.75

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Solution

The fourth proportional to 432,956.95, 649,160.32 and 379,755.75 is: 569,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,956.95 : 649,160.32 = 379,755.75 : x
  2. Step 2: Convert to fraction form
    432,956.95/649,160.32 = 379,755.75/x
  3. Step 3: Cross multiply
    432,956.95x = 649,160.32 × 379,755.75
  4. Step 4: Simplify right side
    432,956.95x = 246,522,364,191.84
  5. Step 5: Solve for x
    x = 246,522,364,191.84/432,956.95
  6. Step 6: Final answer
    x = 569,392.32

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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.