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Finding the Fourth Proportional to 400,291.92, 552,329.82 and 228,202.56

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Solution

The fourth proportional to 400,291.92, 552,329.82 and 228,202.56 is: 314,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,291.92 : 552,329.82 = 228,202.56 : x
  2. Step 2: Convert to fraction form
    400,291.92/552,329.82 = 228,202.56/x
  3. Step 3: Cross multiply
    400,291.92x = 552,329.82 × 228,202.56
  4. Step 4: Simplify right side
    400,291.92x = 126,043,078,888.34
  5. Step 5: Solve for x
    x = 126,043,078,888.34/400,291.92
  6. Step 6: Final answer
    x = 314,877.90

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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.