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Finding the Fourth Proportional to 596,576, 823,276.50 and 328,304

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Solution

The fourth proportional to 596,576, 823,276.50 and 328,304 is: 453,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,576 : 823,276.50 = 328,304 : x
  2. Step 2: Convert to fraction form
    596,576/823,276.50 = 328,304/x
  3. Step 3: Cross multiply
    596,576x = 823,276.50 × 328,304
  4. Step 4: Simplify right side
    596,576x = 270,284,968,056
  5. Step 5: Solve for x
    x = 270,284,968,056/596,576
  6. Step 6: Final answer
    x = 453,060.41

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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.