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Finding the Fourth Proportional to 595,902.26, 822,361.34 and 323,988.46

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Solution

The fourth proportional to 595,902.26, 822,361.34 and 323,988.46 is: 447,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,902.26 : 822,361.34 = 323,988.46 : x
  2. Step 2: Convert to fraction form
    595,902.26/822,361.34 = 323,988.46/x
  3. Step 3: Cross multiply
    595,902.26x = 822,361.34 × 323,988.46
  4. Step 4: Simplify right side
    595,902.26x = 266,435,582,864.20
  5. Step 5: Solve for x
    x = 266,435,582,864.20/595,902.26
  6. Step 6: Final answer
    x = 447,112.89

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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.