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Finding the Fourth Proportional to 298,875.92, 412,448.78 and 164,739.92

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Solution

The fourth proportional to 298,875.92, 412,448.78 and 164,739.92 is: 227,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,875.92 : 412,448.78 = 164,739.92 : x
  2. Step 2: Convert to fraction form
    298,875.92/412,448.78 = 164,739.92/x
  3. Step 3: Cross multiply
    298,875.92x = 412,448.78 × 164,739.92
  4. Step 4: Simplify right side
    298,875.92x = 67,946,778,197.60
  5. Step 5: Solve for x
    x = 67,946,778,197.60/298,875.92
  6. Step 6: Final answer
    x = 227,341.09

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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.