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Finding the Fourth Proportional to 597,993, 825,230.34 and 329,738.28

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Solution

The fourth proportional to 597,993, 825,230.34 and 329,738.28 is: 455,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,993 : 825,230.34 = 329,738.28 : x
  2. Step 2: Convert to fraction form
    597,993/825,230.34 = 329,738.28/x
  3. Step 3: Cross multiply
    597,993x = 825,230.34 × 329,738.28
  4. Step 4: Simplify right side
    597,993x = 272,110,032,915.42
  5. Step 5: Solve for x
    x = 272,110,032,915.42/597,993
  6. Step 6: Final answer
    x = 455,038.83

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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.