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Finding the Fourth Proportional to 358,839.59, 495,179.46 and 205,846.16

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Solution

The fourth proportional to 358,839.59, 495,179.46 and 205,846.16 is: 284,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,839.59 : 495,179.46 = 205,846.16 : x
  2. Step 2: Convert to fraction form
    358,839.59/495,179.46 = 205,846.16/x
  3. Step 3: Cross multiply
    358,839.59x = 495,179.46 × 205,846.16
  4. Step 4: Simplify right side
    358,839.59x = 101,930,787,875.98
  5. Step 5: Solve for x
    x = 101,930,787,875.98/358,839.59
  6. Step 6: Final answer
    x = 284,056.70

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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.