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Finding the Fourth Proportional to 457,152.38, 685,673.96 and 120,219.28

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Solution

The fourth proportional to 457,152.38, 685,673.96 and 120,219.28 is: 180,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,152.38 : 685,673.96 = 120,219.28 : x
  2. Step 2: Convert to fraction form
    457,152.38/685,673.96 = 120,219.28/x
  3. Step 3: Cross multiply
    457,152.38x = 685,673.96 × 120,219.28
  4. Step 4: Simplify right side
    457,152.38x = 82,431,228,372.31
  5. Step 5: Solve for x
    x = 82,431,228,372.31/457,152.38
  6. Step 6: Final answer
    x = 180,314.56

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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.