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Finding the Fourth Proportional to 537,894.28, 742,267.38 and 296,198.44

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Solution

The fourth proportional to 537,894.28, 742,267.38 and 296,198.44 is: 408,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,894.28 : 742,267.38 = 296,198.44 : x
  2. Step 2: Convert to fraction form
    537,894.28/742,267.38 = 296,198.44/x
  3. Step 3: Cross multiply
    537,894.28x = 742,267.38 × 296,198.44
  4. Step 4: Simplify right side
    537,894.28x = 219,858,440,018.89
  5. Step 5: Solve for x
    x = 219,858,440,018.89/537,894.28
  6. Step 6: Final answer
    x = 408,739.13

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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.