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Finding the Fourth Proportional to 298,608.08, 412,079.14 and 164,472.08

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Solution

The fourth proportional to 298,608.08, 412,079.14 and 164,472.08 is: 226,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,608.08 : 412,079.14 = 164,472.08 : x
  2. Step 2: Convert to fraction form
    298,608.08/412,079.14 = 164,472.08/x
  3. Step 3: Cross multiply
    298,608.08x = 412,079.14 × 164,472.08
  4. Step 4: Simplify right side
    298,608.08x = 67,775,513,280.41
  5. Step 5: Solve for x
    x = 67,775,513,280.41/298,608.08
  6. Step 6: Final answer
    x = 226,971.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.