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Finding the Fourth Proportional to 595,223.81, 821,414.82 and 323,297.02

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Solution

The fourth proportional to 595,223.81, 821,414.82 and 323,297.02 is: 446,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,223.81 : 821,414.82 = 323,297.02 : x
  2. Step 2: Convert to fraction form
    595,223.81/821,414.82 = 323,297.02/x
  3. Step 3: Cross multiply
    595,223.81x = 821,414.82 × 323,297.02
  4. Step 4: Simplify right side
    595,223.81x = 265,560,965,728.97
  5. Step 5: Solve for x
    x = 265,560,965,728.97/595,223.81
  6. Step 6: Final answer
    x = 446,153.13

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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.