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Finding the Fourth Proportional to 358,875.38, 495,319.52 and 206,016.84

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Solution

The fourth proportional to 358,875.38, 495,319.52 and 206,016.84 is: 284,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,875.38 : 495,319.52 = 206,016.84 : x
  2. Step 2: Convert to fraction form
    358,875.38/495,319.52 = 206,016.84/x
  3. Step 3: Cross multiply
    358,875.38x = 495,319.52 × 206,016.84
  4. Step 4: Simplify right side
    358,875.38x = 102,044,162,815.76
  5. Step 5: Solve for x
    x = 102,044,162,815.76/358,875.38
  6. Step 6: Final answer
    x = 284,344.28

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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.