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Finding the Fourth Proportional to 384,794.96, 531,007.24 and 215,030.48

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Solution

The fourth proportional to 384,794.96, 531,007.24 and 215,030.48 is: 296,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,794.96 : 531,007.24 = 215,030.48 : x
  2. Step 2: Convert to fraction form
    384,794.96/531,007.24 = 215,030.48/x
  3. Step 3: Cross multiply
    384,794.96x = 531,007.24 × 215,030.48
  4. Step 4: Simplify right side
    384,794.96x = 114,182,741,700.68
  5. Step 5: Solve for x
    x = 114,182,741,700.68/384,794.96
  6. Step 6: Final answer
    x = 296,736.58

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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.