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Finding the Fourth Proportional to 308,983.80, 433,199.40 and 308,983.80

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Solution

The fourth proportional to 308,983.80, 433,199.40 and 308,983.80 is: 433,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,983.80 : 433,199.40 = 308,983.80 : x
  2. Step 2: Convert to fraction form
    308,983.80/433,199.40 = 308,983.80/x
  3. Step 3: Cross multiply
    308,983.80x = 433,199.40 × 308,983.80
  4. Step 4: Simplify right side
    308,983.80x = 133,851,596,769.72
  5. Step 5: Solve for x
    x = 133,851,596,769.72/308,983.80
  6. Step 6: Final answer
    x = 433,199.40

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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.