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Finding the Fourth Proportional to 309,930.41, 464,683.37 and 157,833.06

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Solution

The fourth proportional to 309,930.41, 464,683.37 and 157,833.06 is: 236,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,930.41 : 464,683.37 = 157,833.06 : x
  2. Step 2: Convert to fraction form
    309,930.41/464,683.37 = 157,833.06/x
  3. Step 3: Cross multiply
    309,930.41x = 464,683.37 × 157,833.06
  4. Step 4: Simplify right side
    309,930.41x = 73,342,397,429.05
  5. Step 5: Solve for x
    x = 73,342,397,429.05/309,930.41
  6. Step 6: Final answer
    x = 236,641.50

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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.