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Finding the Fourth Proportional to 366,942.93, 506,384.91 and 205,794.52

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Solution

The fourth proportional to 366,942.93, 506,384.91 and 205,794.52 is: 283,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942.93 : 506,384.91 = 205,794.52 : x
  2. Step 2: Convert to fraction form
    366,942.93/506,384.91 = 205,794.52/x
  3. Step 3: Cross multiply
    366,942.93x = 506,384.91 × 205,794.52
  4. Step 4: Simplify right side
    366,942.93x = 104,211,239,488.69
  5. Step 5: Solve for x
    x = 104,211,239,488.69/366,942.93
  6. Step 6: Final answer
    x = 283,998.49

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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.