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Finding the Fourth Proportional to 537,940.01, 742,357.13 and 296,221.98

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Solution

The fourth proportional to 537,940.01, 742,357.13 and 296,221.98 is: 408,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,940.01 : 742,357.13 = 296,221.98 : x
  2. Step 2: Convert to fraction form
    537,940.01/742,357.13 = 296,221.98/x
  3. Step 3: Cross multiply
    537,940.01x = 742,357.13 × 296,221.98
  4. Step 4: Simplify right side
    537,940.01x = 219,902,498,915.72
  5. Step 5: Solve for x
    x = 219,902,498,915.72/537,940.01
  6. Step 6: Final answer
    x = 408,786.29

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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.