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Finding the Fourth Proportional to 513,002.30, 769,586.14 and 158,016.16

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Solution

The fourth proportional to 513,002.30, 769,586.14 and 158,016.16 is: 237,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,002.30 : 769,586.14 = 158,016.16 : x
  2. Step 2: Convert to fraction form
    513,002.30/769,586.14 = 158,016.16/x
  3. Step 3: Cross multiply
    513,002.30x = 769,586.14 × 158,016.16
  4. Step 4: Simplify right side
    513,002.30x = 121,607,046,632.02
  5. Step 5: Solve for x
    x = 121,607,046,632.02/513,002.30
  6. Step 6: Final answer
    x = 237,049.71

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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.