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Finding the Fourth Proportional to 461,906.54, 637,424.30 and 257,955.30

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Solution

The fourth proportional to 461,906.54, 637,424.30 and 257,955.30 is: 355,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,906.54 : 637,424.30 = 257,955.30 : x
  2. Step 2: Convert to fraction form
    461,906.54/637,424.30 = 257,955.30/x
  3. Step 3: Cross multiply
    461,906.54x = 637,424.30 × 257,955.30
  4. Step 4: Simplify right side
    461,906.54x = 164,426,975,244.01
  5. Step 5: Solve for x
    x = 164,426,975,244.01/461,906.54
  6. Step 6: Final answer
    x = 355,974.56

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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.