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Finding the Fourth Proportional to 468,144.80, 701,029.20 and 257,544.80

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Solution

The fourth proportional to 468,144.80, 701,029.20 and 257,544.80 is: 385,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,144.80 : 701,029.20 = 257,544.80 : x
  2. Step 2: Convert to fraction form
    468,144.80/701,029.20 = 257,544.80/x
  3. Step 3: Cross multiply
    468,144.80x = 701,029.20 × 257,544.80
  4. Step 4: Simplify right side
    468,144.80x = 180,546,425,108.16
  5. Step 5: Solve for x
    x = 180,546,425,108.16/468,144.80
  6. Step 6: Final answer
    x = 385,663.63

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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.