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Finding the Fourth Proportional to 538,192.62, 742,702.37 and 296,469.59

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Solution

The fourth proportional to 538,192.62, 742,702.37 and 296,469.59 is: 409,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,192.62 : 742,702.37 = 296,469.59 : x
  2. Step 2: Convert to fraction form
    538,192.62/742,702.37 = 296,469.59/x
  3. Step 3: Cross multiply
    538,192.62x = 742,702.37 × 296,469.59
  4. Step 4: Simplify right side
    538,192.62x = 220,188,661,930.07
  5. Step 5: Solve for x
    x = 220,188,661,930.07/538,192.62
  6. Step 6: Final answer
    x = 409,126.13

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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.