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Finding the Fourth Proportional to 320,882.73, 442,864.50 and 184,890.60

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Solution

The fourth proportional to 320,882.73, 442,864.50 and 184,890.60 is: 255,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,882.73 : 442,864.50 = 184,890.60 : x
  2. Step 2: Convert to fraction form
    320,882.73/442,864.50 = 184,890.60/x
  3. Step 3: Cross multiply
    320,882.73x = 442,864.50 × 184,890.60
  4. Step 4: Simplify right side
    320,882.73x = 81,881,483,123.70
  5. Step 5: Solve for x
    x = 81,881,483,123.70/320,882.73
  6. Step 6: Final answer
    x = 255,175.72

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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.