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Finding the Fourth Proportional to 264,342.87, 363,871.22 and 228,159.11

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Solution

The fourth proportional to 264,342.87, 363,871.22 and 228,159.11 is: 314,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,342.87 : 363,871.22 = 228,159.11 : x
  2. Step 2: Convert to fraction form
    264,342.87/363,871.22 = 228,159.11/x
  3. Step 3: Cross multiply
    264,342.87x = 363,871.22 × 228,159.11
  4. Step 4: Simplify right side
    264,342.87x = 83,020,530,749.66
  5. Step 5: Solve for x
    x = 83,020,530,749.66/264,342.87
  6. Step 6: Final answer
    x = 314,063.82

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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.