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Finding the Fourth Proportional to 597,042.80, 823,287.64 and 461,098.88

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Solution

The fourth proportional to 597,042.80, 823,287.64 and 461,098.88 is: 635,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,042.80 : 823,287.64 = 461,098.88 : x
  2. Step 2: Convert to fraction form
    597,042.80/823,287.64 = 461,098.88/x
  3. Step 3: Cross multiply
    597,042.80x = 823,287.64 × 461,098.88
  4. Step 4: Simplify right side
    597,042.80x = 379,617,008,721.84
  5. Step 5: Solve for x
    x = 379,617,008,721.84/597,042.80
  6. Step 6: Final answer
    x = 635,828.80

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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.