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Finding the Fourth Proportional to 474,289.38, 654,512.16 and 283,265.82

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Solution

The fourth proportional to 474,289.38, 654,512.16 and 283,265.82 is: 390,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,289.38 : 654,512.16 = 283,265.82 : x
  2. Step 2: Convert to fraction form
    474,289.38/654,512.16 = 283,265.82/x
  3. Step 3: Cross multiply
    474,289.38x = 654,512.16 × 283,265.82
  4. Step 4: Simplify right side
    474,289.38x = 185,400,923,702.37
  5. Step 5: Solve for x
    x = 185,400,923,702.37/474,289.38
  6. Step 6: Final answer
    x = 390,902.54

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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.