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Finding the Fourth Proportional to 366,299.74, 505,332.61 and 221,024.50

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Solution

The fourth proportional to 366,299.74, 505,332.61 and 221,024.50 is: 304,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,299.74 : 505,332.61 = 221,024.50 : x
  2. Step 2: Convert to fraction form
    366,299.74/505,332.61 = 221,024.50/x
  3. Step 3: Cross multiply
    366,299.74x = 505,332.61 × 221,024.50
  4. Step 4: Simplify right side
    366,299.74x = 111,690,887,458.95
  5. Step 5: Solve for x
    x = 111,690,887,458.95/366,299.74
  6. Step 6: Final answer
    x = 304,916.64

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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.