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Finding the Fourth Proportional to 376,887.96, 565,351.42 and 96,407.64

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Solution

The fourth proportional to 376,887.96, 565,351.42 and 96,407.64 is: 144,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,887.96 : 565,351.42 = 96,407.64 : x
  2. Step 2: Convert to fraction form
    376,887.96/565,351.42 = 96,407.64/x
  3. Step 3: Cross multiply
    376,887.96x = 565,351.42 × 96,407.64
  4. Step 4: Simplify right side
    376,887.96x = 54,504,196,172.85
  5. Step 5: Solve for x
    x = 54,504,196,172.85/376,887.96
  6. Step 6: Final answer
    x = 144,616.44

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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.