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Finding the Fourth Proportional to 360,951.09, 498,157.02 and 205,940.55

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Solution

The fourth proportional to 360,951.09, 498,157.02 and 205,940.55 is: 284,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,951.09 : 498,157.02 = 205,940.55 : x
  2. Step 2: Convert to fraction form
    360,951.09/498,157.02 = 205,940.55/x
  3. Step 3: Cross multiply
    360,951.09x = 498,157.02 × 205,940.55
  4. Step 4: Simplify right side
    360,951.09x = 102,590,730,685.16
  5. Step 5: Solve for x
    x = 102,590,730,685.16/360,951.09
  6. Step 6: Final answer
    x = 284,223.36

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1.5x scale

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.