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Finding the Fourth Proportional to 431,206.30, 590,754.76 and 415,044.99

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Solution

The fourth proportional to 431,206.30, 590,754.76 and 415,044.99 is: 568,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,206.30 : 590,754.76 = 415,044.99 : x
  2. Step 2: Convert to fraction form
    431,206.30/590,754.76 = 415,044.99/x
  3. Step 3: Cross multiply
    431,206.30x = 590,754.76 × 415,044.99
  4. Step 4: Simplify right side
    431,206.30x = 245,189,803,456.65
  5. Step 5: Solve for x
    x = 245,189,803,456.65/431,206.30
  6. Step 6: Final answer
    x = 568,613.69

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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.