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Finding the Fourth Proportional to 782,767.12, 1,080,200.36 and 460,497.97

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Solution

The fourth proportional to 782,767.12, 1,080,200.36 and 460,497.97 is: 635,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,767.12 : 1,080,200.36 = 460,497.97 : x
  2. Step 2: Convert to fraction form
    782,767.12/1,080,200.36 = 460,497.97/x
  3. Step 3: Cross multiply
    782,767.12x = 1,080,200.36 × 460,497.97
  4. Step 4: Simplify right side
    782,767.12x = 497,430,070,670.78
  5. Step 5: Solve for x
    x = 497,430,070,670.78/782,767.12
  6. Step 6: Final answer
    x = 635,476.45

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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.