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Finding the Fourth Proportional to 323,764.35, 485,646.53 and 229,285.95

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Solution

The fourth proportional to 323,764.35, 485,646.53 and 229,285.95 is: 343,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,764.35 : 485,646.53 = 229,285.95 : x
  2. Step 2: Convert to fraction form
    323,764.35/485,646.53 = 229,285.95/x
  3. Step 3: Cross multiply
    323,764.35x = 485,646.53 × 229,285.95
  4. Step 4: Simplify right side
    323,764.35x = 111,351,924,848.82
  5. Step 5: Solve for x
    x = 111,351,924,848.82/323,764.35
  6. Step 6: Final answer
    x = 343,928.93

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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.