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Finding the Fourth Proportional to 474,974.04, 655,456.14 and 257,181

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Solution

The fourth proportional to 474,974.04, 655,456.14 and 257,181 is: 354,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,974.04 : 655,456.14 = 257,181 : x
  2. Step 2: Convert to fraction form
    474,974.04/655,456.14 = 257,181/x
  3. Step 3: Cross multiply
    474,974.04x = 655,456.14 × 257,181
  4. Step 4: Simplify right side
    474,974.04x = 168,570,865,541.34
  5. Step 5: Solve for x
    x = 168,570,865,541.34/474,974.04
  6. Step 6: Final answer
    x = 354,905.43

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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.