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Finding the Fourth Proportional to 313,961.72, 470,958.90 and 103,616.06

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Solution

The fourth proportional to 313,961.72, 470,958.90 and 103,616.06 is: 155,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,961.72 : 470,958.90 = 103,616.06 : x
  2. Step 2: Convert to fraction form
    313,961.72/470,958.90 = 103,616.06/x
  3. Step 3: Cross multiply
    313,961.72x = 470,958.90 × 103,616.06
  4. Step 4: Simplify right side
    313,961.72x = 48,798,905,639.93
  5. Step 5: Solve for x
    x = 48,798,905,639.93/313,961.72
  6. Step 6: Final answer
    x = 155,429.48

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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.