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Finding the Fourth Proportional to 313,710.44, 470,301.10 and 136,083.64

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Solution

The fourth proportional to 313,710.44, 470,301.10 and 136,083.64 is: 204,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.44 : 470,301.10 = 136,083.64 : x
  2. Step 2: Convert to fraction form
    313,710.44/470,301.10 = 136,083.64/x
  3. Step 3: Cross multiply
    313,710.44x = 470,301.10 × 136,083.64
  4. Step 4: Simplify right side
    313,710.44x = 64,000,285,584.00
  5. Step 5: Solve for x
    x = 64,000,285,584.00/313,710.44
  6. Step 6: Final answer
    x = 204,010.70

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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.