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Finding the Fourth Proportional to 455,884.92, 683,836.20 and 140,341.50

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Solution

The fourth proportional to 455,884.92, 683,836.20 and 140,341.50 is: 210,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,884.92 : 683,836.20 = 140,341.50 : x
  2. Step 2: Convert to fraction form
    455,884.92/683,836.20 = 140,341.50/x
  3. Step 3: Cross multiply
    455,884.92x = 683,836.20 × 140,341.50
  4. Step 4: Simplify right side
    455,884.92x = 95,970,598,062.30
  5. Step 5: Solve for x
    x = 95,970,598,062.30/455,884.92
  6. Step 6: Final answer
    x = 210,514.97

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