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Finding the Fourth Proportional to 308,983.30, 433,198.70 and 308,983.30

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Solution

The fourth proportional to 308,983.30, 433,198.70 and 308,983.30 is: 433,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,983.30 : 433,198.70 = 308,983.30 : x
  2. Step 2: Convert to fraction form
    308,983.30/433,198.70 = 308,983.30/x
  3. Step 3: Cross multiply
    308,983.30x = 433,198.70 × 308,983.30
  4. Step 4: Simplify right side
    308,983.30x = 133,851,163,881.71
  5. Step 5: Solve for x
    x = 133,851,163,881.71/308,983.30
  6. Step 6: Final answer
    x = 433,198.70

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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.