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Finding the Fourth Proportional to 442,049.38, 663,074.06 and 161,566.62

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Solution

The fourth proportional to 442,049.38, 663,074.06 and 161,566.62 is: 242,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,049.38 : 663,074.06 = 161,566.62 : x
  2. Step 2: Convert to fraction form
    442,049.38/663,074.06 = 161,566.62/x
  3. Step 3: Cross multiply
    442,049.38x = 663,074.06 × 161,566.62
  4. Step 4: Simplify right side
    442,049.38x = 107,130,634,683.88
  5. Step 5: Solve for x
    x = 107,130,634,683.88/442,049.38
  6. Step 6: Final answer
    x = 242,349.93

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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.