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Finding the Fourth Proportional to 389,838.24, 537,809.04 and 228,742.56

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Solution

The fourth proportional to 389,838.24, 537,809.04 and 228,742.56 is: 315,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,838.24 : 537,809.04 = 228,742.56 : x
  2. Step 2: Convert to fraction form
    389,838.24/537,809.04 = 228,742.56/x
  3. Step 3: Cross multiply
    389,838.24x = 537,809.04 × 228,742.56
  4. Step 4: Simplify right side
    389,838.24x = 123,019,816,600.74
  5. Step 5: Solve for x
    x = 123,019,816,600.74/389,838.24
  6. Step 6: Final answer
    x = 315,566.31

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