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Finding the Fourth Proportional to 298,587.48, 412,031.82 and 164,451.48

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Solution

The fourth proportional to 298,587.48, 412,031.82 and 164,451.48 is: 226,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,587.48 : 412,031.82 = 164,451.48 : x
  2. Step 2: Convert to fraction form
    298,587.48/412,031.82 = 164,451.48/x
  3. Step 3: Cross multiply
    298,587.48x = 412,031.82 × 164,451.48
  4. Step 4: Simplify right side
    298,587.48x = 67,759,242,606.09
  5. Step 5: Solve for x
    x = 67,759,242,606.09/298,587.48
  6. Step 6: Final answer
    x = 226,932.63

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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.