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Finding the Fourth Proportional to 323,089.10, 445,904.74 and 185,321.78

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Solution

The fourth proportional to 323,089.10, 445,904.74 and 185,321.78 is: 255,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,089.10 : 445,904.74 = 185,321.78 : x
  2. Step 2: Convert to fraction form
    323,089.10/445,904.74 = 185,321.78/x
  3. Step 3: Cross multiply
    323,089.10x = 445,904.74 × 185,321.78
  4. Step 4: Simplify right side
    323,089.10x = 82,635,860,127.24
  5. Step 5: Solve for x
    x = 82,635,860,127.24/323,089.10
  6. Step 6: Final answer
    x = 255,768.02

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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.