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Finding the Fourth Proportional to 384,961.76, 531,249.36 and 215,203.04

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Solution

The fourth proportional to 384,961.76, 531,249.36 and 215,203.04 is: 296,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,961.76 : 531,249.36 = 215,203.04 : x
  2. Step 2: Convert to fraction form
    384,961.76/531,249.36 = 215,203.04/x
  3. Step 3: Cross multiply
    384,961.76x = 531,249.36 × 215,203.04
  4. Step 4: Simplify right side
    384,961.76x = 114,326,477,270.05
  5. Step 5: Solve for x
    x = 114,326,477,270.05/384,961.76
  6. Step 6: Final answer
    x = 296,981.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.