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Finding the Fourth Proportional to 596,474.50, 823,134.81 and 328,202.50

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Solution

The fourth proportional to 596,474.50, 823,134.81 and 328,202.50 is: 452,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,474.50 : 823,134.81 = 328,202.50 : x
  2. Step 2: Convert to fraction form
    596,474.50/823,134.81 = 328,202.50/x
  3. Step 3: Cross multiply
    596,474.50x = 823,134.81 × 328,202.50
  4. Step 4: Simplify right side
    596,474.50x = 270,154,902,479.03
  5. Step 5: Solve for x
    x = 270,154,902,479.03/596,474.50
  6. Step 6: Final answer
    x = 452,919.45

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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.