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Finding the Fourth Proportional to 358,886.57, 495,274.68 and 205,952.74

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Solution

The fourth proportional to 358,886.57, 495,274.68 and 205,952.74 is: 284,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,886.57 : 495,274.68 = 205,952.74 : x
  2. Step 2: Convert to fraction form
    358,886.57/495,274.68 = 205,952.74/x
  3. Step 3: Cross multiply
    358,886.57x = 495,274.68 × 205,952.74
  4. Step 4: Simplify right side
    358,886.57x = 102,003,177,398.62
  5. Step 5: Solve for x
    x = 102,003,177,398.62/358,886.57
  6. Step 6: Final answer
    x = 284,221.22

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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.