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Finding the Fourth Proportional to 596,538.78, 823,223.61 and 328,266.78

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Solution

The fourth proportional to 596,538.78, 823,223.61 and 328,266.78 is: 453,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,538.78 : 823,223.61 = 328,266.78 : x
  2. Step 2: Convert to fraction form
    596,538.78/823,223.61 = 328,266.78/x
  3. Step 3: Cross multiply
    596,538.78x = 823,223.61 × 328,266.78
  4. Step 4: Simplify right side
    596,538.78x = 270,236,963,674.68
  5. Step 5: Solve for x
    x = 270,236,963,674.68/596,538.78
  6. Step 6: Final answer
    x = 453,008.21

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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.