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Finding the Fourth Proportional to 474,813.54, 655,287.24 and 283,822.86

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Solution

The fourth proportional to 474,813.54, 655,287.24 and 283,822.86 is: 391,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,813.54 : 655,287.24 = 283,822.86 : x
  2. Step 2: Convert to fraction form
    474,813.54/655,287.24 = 283,822.86/x
  3. Step 3: Cross multiply
    474,813.54x = 655,287.24 × 283,822.86
  4. Step 4: Simplify right side
    474,813.54x = 185,985,498,578.31
  5. Step 5: Solve for x
    x = 185,985,498,578.31/474,813.54
  6. Step 6: Final answer
    x = 391,702.18

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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.