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Finding the Fourth Proportional to 412,740.27, 619,006.50 and 159,934.01

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Solution

The fourth proportional to 412,740.27, 619,006.50 and 159,934.01 is: 239,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,740.27 : 619,006.50 = 159,934.01 : x
  2. Step 2: Convert to fraction form
    412,740.27/619,006.50 = 159,934.01/x
  3. Step 3: Cross multiply
    412,740.27x = 619,006.50 × 159,934.01
  4. Step 4: Simplify right side
    412,740.27x = 99,000,188,666.03
  5. Step 5: Solve for x
    x = 99,000,188,666.03/412,740.27
  6. Step 6: Final answer
    x = 239,860.75

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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.