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Finding the Fourth Proportional to 299,764.81, 413,670.54 and 163,795.78

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Solution

The fourth proportional to 299,764.81, 413,670.54 and 163,795.78 is: 226,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,764.81 : 413,670.54 = 163,795.78 : x
  2. Step 2: Convert to fraction form
    299,764.81/413,670.54 = 163,795.78/x
  3. Step 3: Cross multiply
    299,764.81x = 413,670.54 × 163,795.78
  4. Step 4: Simplify right side
    299,764.81x = 67,757,488,762.32
  5. Step 5: Solve for x
    x = 67,757,488,762.32/299,764.81
  6. Step 6: Final answer
    x = 226,035.50

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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.