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Finding the Fourth Proportional to 298,232, 411,568.80 and 164,096

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Solution

The fourth proportional to 298,232, 411,568.80 and 164,096 is: 226,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,232 : 411,568.80 = 164,096 : x
  2. Step 2: Convert to fraction form
    298,232/411,568.80 = 164,096/x
  3. Step 3: Cross multiply
    298,232x = 411,568.80 × 164,096
  4. Step 4: Simplify right side
    298,232x = 67,536,793,804.80
  5. Step 5: Solve for x
    x = 67,536,793,804.80/298,232
  6. Step 6: Final answer
    x = 226,457.23

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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.