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Finding the Fourth Proportional to 596,453, 823,122.42 and 328,181

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Solution

The fourth proportional to 596,453, 823,122.42 and 328,181 is: 452,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,453 : 823,122.42 = 328,181 : x
  2. Step 2: Convert to fraction form
    596,453/823,122.42 = 328,181/x
  3. Step 3: Cross multiply
    596,453x = 823,122.42 × 328,181
  4. Step 4: Simplify right side
    596,453x = 270,133,138,918.02
  5. Step 5: Solve for x
    x = 270,133,138,918.02/596,453
  6. Step 6: Final answer
    x = 452,899.29

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Why These Related Problems?

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