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Finding the Fourth Proportional to 368,937.38, 509,149.33 and 205,594.07

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Solution

The fourth proportional to 368,937.38, 509,149.33 and 205,594.07 is: 283,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,937.38 : 509,149.33 = 205,594.07 : x
  2. Step 2: Convert to fraction form
    368,937.38/509,149.33 = 205,594.07/x
  3. Step 3: Cross multiply
    368,937.38x = 509,149.33 × 205,594.07
  4. Step 4: Simplify right side
    368,937.38x = 104,678,079,932.74
  5. Step 5: Solve for x
    x = 104,678,079,932.74/368,937.38
  6. Step 6: Final answer
    x = 283,728.58

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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.