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Finding the Fourth Proportional to 298,543.48, 411,971.22 and 164,407.48

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Solution

The fourth proportional to 298,543.48, 411,971.22 and 164,407.48 is: 226,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,543.48 : 411,971.22 = 164,407.48 : x
  2. Step 2: Convert to fraction form
    298,543.48/411,971.22 = 164,407.48/x
  3. Step 3: Cross multiply
    298,543.48x = 411,971.22 × 164,407.48
  4. Step 4: Simplify right side
    298,543.48x = 67,731,150,112.73
  5. Step 5: Solve for x
    x = 67,731,150,112.73/298,543.48
  6. Step 6: Final answer
    x = 226,871.98

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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.