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Finding the Fourth Proportional to 455,851.50, 683,786.10 and 140,308.14

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Solution

The fourth proportional to 455,851.50, 683,786.10 and 140,308.14 is: 210,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,851.50 : 683,786.10 = 140,308.14 : x
  2. Step 2: Convert to fraction form
    455,851.50/683,786.10 = 140,308.14/x
  3. Step 3: Cross multiply
    455,851.50x = 683,786.10 × 140,308.14
  4. Step 4: Simplify right side
    455,851.50x = 95,940,755,848.85
  5. Step 5: Solve for x
    x = 95,940,755,848.85/455,851.50
  6. Step 6: Final answer
    x = 210,464.93

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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.