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Finding the Fourth Proportional to 358,764.39, 495,116.19 and 205,801.56

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Solution

The fourth proportional to 358,764.39, 495,116.19 and 205,801.56 is: 284,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,764.39 : 495,116.19 = 205,801.56 : x
  2. Step 2: Convert to fraction form
    358,764.39/495,116.19 = 205,801.56/x
  3. Step 3: Cross multiply
    358,764.39x = 495,116.19 × 205,801.56
  4. Step 4: Simplify right side
    358,764.39x = 101,895,684,283.26
  5. Step 5: Solve for x
    x = 101,895,684,283.26/358,764.39
  6. Step 6: Final answer
    x = 284,018.39

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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.