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Finding the Fourth Proportional to 308,200.70, 461,523.45 and 202,447.10

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Solution

The fourth proportional to 308,200.70, 461,523.45 and 202,447.10 is: 303,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,200.70 : 461,523.45 = 202,447.10 : x
  2. Step 2: Convert to fraction form
    308,200.70/461,523.45 = 202,447.10/x
  3. Step 3: Cross multiply
    308,200.70x = 461,523.45 × 202,447.10
  4. Step 4: Simplify right side
    308,200.70x = 93,434,084,034.50
  5. Step 5: Solve for x
    x = 93,434,084,034.50/308,200.70
  6. Step 6: Final answer
    x = 303,159.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.