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Finding the Fourth Proportional to 308,399.68, 461,880.98 and 299,886.78

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Solution

The fourth proportional to 308,399.68, 461,880.98 and 299,886.78 is: 449,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,399.68 : 461,880.98 = 299,886.78 : x
  2. Step 2: Convert to fraction form
    308,399.68/461,880.98 = 299,886.78/x
  3. Step 3: Cross multiply
    308,399.68x = 461,880.98 × 299,886.78
  4. Step 4: Simplify right side
    308,399.68x = 138,512,001,580.46
  5. Step 5: Solve for x
    x = 138,512,001,580.46/308,399.68
  6. Step 6: Final answer
    x = 449,131.47

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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.