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Finding the Fourth Proportional to 366,011.18, 505,095.30 and 204,866.18

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Solution

The fourth proportional to 366,011.18, 505,095.30 and 204,866.18 is: 282,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,011.18 : 505,095.30 = 204,866.18 : x
  2. Step 2: Convert to fraction form
    366,011.18/505,095.30 = 204,866.18/x
  3. Step 3: Cross multiply
    366,011.18x = 505,095.30 × 204,866.18
  4. Step 4: Simplify right side
    366,011.18x = 103,476,942,121.48
  5. Step 5: Solve for x
    x = 103,476,942,121.48/366,011.18
  6. Step 6: Final answer
    x = 282,715.25

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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.