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Finding the Fourth Proportional to 468,049.56, 702,147.20 and 152,433.04

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Solution

The fourth proportional to 468,049.56, 702,147.20 and 152,433.04 is: 228,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.56 : 702,147.20 = 152,433.04 : x
  2. Step 2: Convert to fraction form
    468,049.56/702,147.20 = 152,433.04/x
  3. Step 3: Cross multiply
    468,049.56x = 702,147.20 × 152,433.04
  4. Step 4: Simplify right side
    468,049.56x = 107,030,432,223.49
  5. Step 5: Solve for x
    x = 107,030,432,223.49/468,049.56
  6. Step 6: Final answer
    x = 228,673.29

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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.