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Finding the Fourth Proportional to 393,116.67, 589,325.85 and 153,174.96

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Solution

The fourth proportional to 393,116.67, 589,325.85 and 153,174.96 is: 229,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,116.67 : 589,325.85 = 153,174.96 : x
  2. Step 2: Convert to fraction form
    393,116.67/589,325.85 = 153,174.96/x
  3. Step 3: Cross multiply
    393,116.67x = 589,325.85 × 153,174.96
  4. Step 4: Simplify right side
    393,116.67x = 90,269,963,500.72
  5. Step 5: Solve for x
    x = 90,269,963,500.72/393,116.67
  6. Step 6: Final answer
    x = 229,626.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.