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Finding the Fourth Proportional to 366,773.76, 506,172.11 and 205,639.20

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Solution

The fourth proportional to 366,773.76, 506,172.11 and 205,639.20 is: 283,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,773.76 : 506,172.11 = 205,639.20 : x
  2. Step 2: Convert to fraction form
    366,773.76/506,172.11 = 205,639.20/x
  3. Step 3: Cross multiply
    366,773.76x = 506,172.11 × 205,639.20
  4. Step 4: Simplify right side
    366,773.76x = 104,088,826,734.52
  5. Step 5: Solve for x
    x = 104,088,826,734.52/366,773.76
  6. Step 6: Final answer
    x = 283,795.73

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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.