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Finding the Fourth Proportional to 782,843.82, 1,080,306.16 and 460,574.66

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Solution

The fourth proportional to 782,843.82, 1,080,306.16 and 460,574.66 is: 635,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,843.82 : 1,080,306.16 = 460,574.66 : x
  2. Step 2: Convert to fraction form
    782,843.82/1,080,306.16 = 460,574.66/x
  3. Step 3: Cross multiply
    782,843.82x = 1,080,306.16 × 460,574.66
  4. Step 4: Simplify right side
    782,843.82x = 497,561,642,337.91
  5. Step 5: Solve for x
    x = 497,561,642,337.91/782,843.82
  6. Step 6: Final answer
    x = 635,582.26

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