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Finding the Fourth Proportional to 475,463.70, 713,194.38 and 120,476.70

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Solution

The fourth proportional to 475,463.70, 713,194.38 and 120,476.70 is: 180,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,463.70 : 713,194.38 = 120,476.70 : x
  2. Step 2: Convert to fraction form
    475,463.70/713,194.38 = 120,476.70/x
  3. Step 3: Cross multiply
    475,463.70x = 713,194.38 × 120,476.70
  4. Step 4: Simplify right side
    475,463.70x = 85,923,305,360.95
  5. Step 5: Solve for x
    x = 85,923,305,360.95/475,463.70
  6. Step 6: Final answer
    x = 180,714.75

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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.