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Finding the Fourth Proportional to 358,894.49, 495,269.10 and 205,929.33

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Solution

The fourth proportional to 358,894.49, 495,269.10 and 205,929.33 is: 284,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,894.49 : 495,269.10 = 205,929.33 : x
  2. Step 2: Convert to fraction form
    358,894.49/495,269.10 = 205,929.33/x
  3. Step 3: Cross multiply
    358,894.49x = 495,269.10 × 205,929.33
  4. Step 4: Simplify right side
    358,894.49x = 101,990,430,426.71
  5. Step 5: Solve for x
    x = 101,990,430,426.71/358,894.49
  6. Step 6: Final answer
    x = 284,179.43

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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.