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Finding the Fourth Proportional to 457,008.40, 685,512.60 and 120,026.80

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Solution

The fourth proportional to 457,008.40, 685,512.60 and 120,026.80 is: 180,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,008.40 : 685,512.60 = 120,026.80 : x
  2. Step 2: Convert to fraction form
    457,008.40/685,512.60 = 120,026.80/x
  3. Step 3: Cross multiply
    457,008.40x = 685,512.60 × 120,026.80
  4. Step 4: Simplify right side
    457,008.40x = 82,279,883,737.68
  5. Step 5: Solve for x
    x = 82,279,883,737.68/457,008.40
  6. Step 6: Final answer
    x = 180,040.20

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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.