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Finding the Fourth Proportional to 365,957.28, 505,043.28 and 204,808.98

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Solution

The fourth proportional to 365,957.28, 505,043.28 and 204,808.98 is: 282,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,957.28 : 505,043.28 = 204,808.98 : x
  2. Step 2: Convert to fraction form
    365,957.28/505,043.28 = 204,808.98/x
  3. Step 3: Cross multiply
    365,957.28x = 505,043.28 × 204,808.98
  4. Step 4: Simplify right side
    365,957.28x = 103,437,399,032.65
  5. Step 5: Solve for x
    x = 103,437,399,032.65/365,957.28
  6. Step 6: Final answer
    x = 282,648.84

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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.