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Finding the Fourth Proportional to 431,207.93, 590,757 and 415,046.61

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Solution

The fourth proportional to 431,207.93, 590,757 and 415,046.61 is: 568,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,207.93 : 590,757 = 415,046.61 : x
  2. Step 2: Convert to fraction form
    431,207.93/590,757 = 415,046.61/x
  3. Step 3: Cross multiply
    431,207.93x = 590,757 × 415,046.61
  4. Step 4: Simplify right side
    431,207.93x = 245,191,690,183.77
  5. Step 5: Solve for x
    x = 245,191,690,183.77/431,207.93
  6. Step 6: Final answer
    x = 568,615.92

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Why These Related Problems?

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