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Finding the Fourth Proportional to 782,767.62, 1,080,201.04 and 460,498.47

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Solution

The fourth proportional to 782,767.62, 1,080,201.04 and 460,498.47 is: 635,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,767.62 : 1,080,201.04 = 460,498.47 : x
  2. Step 2: Convert to fraction form
    782,767.62/1,080,201.04 = 460,498.47/x
  3. Step 3: Cross multiply
    782,767.62x = 1,080,201.04 × 460,498.47
  4. Step 4: Simplify right side
    782,767.62x = 497,430,926,212.41
  5. Step 5: Solve for x
    x = 497,430,926,212.41/782,767.62
  6. Step 6: Final answer
    x = 635,477.14

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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.