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Finding the Fourth Proportional to 431,290.42, 595,167.06 and 270,232.44

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Solution

The fourth proportional to 431,290.42, 595,167.06 and 270,232.44 is: 372,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,290.42 : 595,167.06 = 270,232.44 : x
  2. Step 2: Convert to fraction form
    431,290.42/595,167.06 = 270,232.44/x
  3. Step 3: Cross multiply
    431,290.42x = 595,167.06 × 270,232.44
  4. Step 4: Simplify right side
    431,290.42x = 160,833,446,831.43
  5. Step 5: Solve for x
    x = 160,833,446,831.43/431,290.42
  6. Step 6: Final answer
    x = 372,912.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.