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Finding the Fourth Proportional to 397,744.53, 596,378.80 and 269,818.01

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Solution

The fourth proportional to 397,744.53, 596,378.80 and 269,818.01 is: 404,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,744.53 : 596,378.80 = 269,818.01 : x
  2. Step 2: Convert to fraction form
    397,744.53/596,378.80 = 269,818.01/x
  3. Step 3: Cross multiply
    397,744.53x = 596,378.80 × 269,818.01
  4. Step 4: Simplify right side
    397,744.53x = 160,913,741,022.19
  5. Step 5: Solve for x
    x = 160,913,741,022.19/397,744.53
  6. Step 6: Final answer
    x = 404,565.57

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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.