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Finding the Fourth Proportional to 597,783.78, 824,936.22 and 325,851.66

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Solution

The fourth proportional to 597,783.78, 824,936.22 and 325,851.66 is: 449,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,783.78 : 824,936.22 = 325,851.66 : x
  2. Step 2: Convert to fraction form
    597,783.78/824,936.22 = 325,851.66/x
  3. Step 3: Cross multiply
    597,783.78x = 824,936.22 × 325,851.66
  4. Step 4: Simplify right side
    597,783.78x = 268,806,836,681.13
  5. Step 5: Solve for x
    x = 268,806,836,681.13/597,783.78
  6. Step 6: Final answer
    x = 449,672.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.