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Finding the Fourth Proportional to 538,468.40, 807,702.60 and 412,497.20

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Solution

The fourth proportional to 538,468.40, 807,702.60 and 412,497.20 is: 618,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,468.40 : 807,702.60 = 412,497.20 : x
  2. Step 2: Convert to fraction form
    538,468.40/807,702.60 = 412,497.20/x
  3. Step 3: Cross multiply
    538,468.40x = 807,702.60 × 412,497.20
  4. Step 4: Simplify right side
    538,468.40x = 333,175,060,932.72
  5. Step 5: Solve for x
    x = 333,175,060,932.72/538,468.40
  6. Step 6: Final answer
    x = 618,745.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.