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Finding the Fourth Proportional to 355,192.14, 490,174.76 and 212,035.26

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Solution

The fourth proportional to 355,192.14, 490,174.76 and 212,035.26 is: 292,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,192.14 : 490,174.76 = 212,035.26 : x
  2. Step 2: Convert to fraction form
    355,192.14/490,174.76 = 212,035.26/x
  3. Step 3: Cross multiply
    355,192.14x = 490,174.76 × 212,035.26
  4. Step 4: Simplify right side
    355,192.14x = 103,934,332,682.04
  5. Step 5: Solve for x
    x = 103,934,332,682.04/355,192.14
  6. Step 6: Final answer
    x = 292,614.39

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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.