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Finding the Fourth Proportional to 432,945.17, 649,142.67 and 379,744.00

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Solution

The fourth proportional to 432,945.17, 649,142.67 and 379,744.00 is: 569,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,945.17 : 649,142.67 = 379,744.00 : x
  2. Step 2: Convert to fraction form
    432,945.17/649,142.67 = 379,744.00/x
  3. Step 3: Cross multiply
    432,945.17x = 649,142.67 × 379,744.00
  4. Step 4: Simplify right side
    432,945.17x = 246,508,033,877.66
  5. Step 5: Solve for x
    x = 246,508,033,877.66/432,945.17
  6. Step 6: Final answer
    x = 569,374.72

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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.