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Finding the Fourth Proportional to 378,046, 567,174.10 and 164,832.55

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Solution

The fourth proportional to 378,046, 567,174.10 and 164,832.55 is: 247,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046 : 567,174.10 = 164,832.55 : x
  2. Step 2: Convert to fraction form
    378,046/567,174.10 = 164,832.55/x
  3. Step 3: Cross multiply
    378,046x = 567,174.10 × 164,832.55
  4. Step 4: Simplify right side
    378,046x = 93,488,749,536.92
  5. Step 5: Solve for x
    x = 93,488,749,536.92/378,046
  6. Step 6: Final answer
    x = 247,294.64

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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.