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Finding the Fourth Proportional to 308,711.20, 433,128.80 and 308,711.20

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Solution

The fourth proportional to 308,711.20, 433,128.80 and 308,711.20 is: 433,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,711.20 : 433,128.80 = 308,711.20 : x
  2. Step 2: Convert to fraction form
    308,711.20/433,128.80 = 308,711.20/x
  3. Step 3: Cross multiply
    308,711.20x = 433,128.80 × 308,711.20
  4. Step 4: Simplify right side
    308,711.20x = 133,711,711,602.56
  5. Step 5: Solve for x
    x = 133,711,711,602.56/308,711.20
  6. Step 6: Final answer
    x = 433,128.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.