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Finding the Fourth Proportional to 596,506.25, 823,178.63 and 328,234.25

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Solution

The fourth proportional to 596,506.25, 823,178.63 and 328,234.25 is: 452,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,506.25 : 823,178.63 = 328,234.25 : x
  2. Step 2: Convert to fraction form
    596,506.25/823,178.63 = 328,234.25/x
  3. Step 3: Cross multiply
    596,506.25x = 823,178.63 × 328,234.25
  4. Step 4: Simplify right side
    596,506.25x = 270,195,420,234.08
  5. Step 5: Solve for x
    x = 270,195,420,234.08/596,506.25
  6. Step 6: Final answer
    x = 452,963.27

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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.