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Finding the Fourth Proportional to 597,755.81, 896,190.84 and 361,043.15

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Solution

The fourth proportional to 597,755.81, 896,190.84 and 361,043.15 is: 541,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,755.81 : 896,190.84 = 361,043.15 : x
  2. Step 2: Convert to fraction form
    597,755.81/896,190.84 = 361,043.15/x
  3. Step 3: Cross multiply
    597,755.81x = 896,190.84 × 361,043.15
  4. Step 4: Simplify right side
    597,755.81x = 323,563,563,874.75
  5. Step 5: Solve for x
    x = 323,563,563,874.75/597,755.81
  6. Step 6: Final answer
    x = 541,297.23

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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.