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Finding the Fourth Proportional to 386,466.40, 579,008.40 and 327,023.20

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Solution

The fourth proportional to 386,466.40, 579,008.40 and 327,023.20 is: 489,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,466.40 : 579,008.40 = 327,023.20 : x
  2. Step 2: Convert to fraction form
    386,466.40/579,008.40 = 327,023.20/x
  3. Step 3: Cross multiply
    386,466.40x = 579,008.40 × 327,023.20
  4. Step 4: Simplify right side
    386,466.40x = 189,349,179,794.88
  5. Step 5: Solve for x
    x = 189,349,179,794.88/386,466.40
  6. Step 6: Final answer
    x = 489,949.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.