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Finding the Fourth Proportional to 395,410.46, 592,993.06 and 142,658.10

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Solution

The fourth proportional to 395,410.46, 592,993.06 and 142,658.10 is: 213,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,410.46 : 592,993.06 = 142,658.10 : x
  2. Step 2: Convert to fraction form
    395,410.46/592,993.06 = 142,658.10/x
  3. Step 3: Cross multiply
    395,410.46x = 592,993.06 × 142,658.10
  4. Step 4: Simplify right side
    395,410.46x = 84,595,262,896.14
  5. Step 5: Solve for x
    x = 84,595,262,896.14/395,410.46
  6. Step 6: Final answer
    x = 213,942.91

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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.