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Finding the Fourth Proportional to 298,552.96, 412,001.28 and 164,416

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Solution

The fourth proportional to 298,552.96, 412,001.28 and 164,416 is: 226,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,552.96 : 412,001.28 = 164,416 : x
  2. Step 2: Convert to fraction form
    298,552.96/412,001.28 = 164,416/x
  3. Step 3: Cross multiply
    298,552.96x = 412,001.28 × 164,416
  4. Step 4: Simplify right side
    298,552.96x = 67,739,602,452.48
  5. Step 5: Solve for x
    x = 67,739,602,452.48/298,552.96
  6. Step 6: Final answer
    x = 226,893.09

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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.