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Finding the Fourth Proportional to 366,472.02, 505,717.32 and 205,318.98

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Solution

The fourth proportional to 366,472.02, 505,717.32 and 205,318.98 is: 283,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,472.02 : 505,717.32 = 205,318.98 : x
  2. Step 2: Convert to fraction form
    366,472.02/505,717.32 = 205,318.98/x
  3. Step 3: Cross multiply
    366,472.02x = 505,717.32 × 205,318.98
  4. Step 4: Simplify right side
    366,472.02x = 103,833,364,310.73
  5. Step 5: Solve for x
    x = 103,833,364,310.73/366,472.02
  6. Step 6: Final answer
    x = 283,332.31

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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.