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Finding the Fourth Proportional to 431,248.24, 590,812.26 and 415,086.96

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Solution

The fourth proportional to 431,248.24, 590,812.26 and 415,086.96 is: 568,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,248.24 : 590,812.26 = 415,086.96 : x
  2. Step 2: Convert to fraction form
    431,248.24/590,812.26 = 415,086.96/x
  3. Step 3: Cross multiply
    431,248.24x = 590,812.26 × 415,086.96
  4. Step 4: Simplify right side
    431,248.24x = 245,238,464,934.13
  5. Step 5: Solve for x
    x = 245,238,464,934.13/431,248.24
  6. Step 6: Final answer
    x = 568,671.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.