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Finding the Fourth Proportional to 298,808.49, 412,355.72 and 164,672.49

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Solution

The fourth proportional to 298,808.49, 412,355.72 and 164,672.49 is: 227,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808.49 : 412,355.72 = 164,672.49 : x
  2. Step 2: Convert to fraction form
    298,808.49/412,355.72 = 164,672.49/x
  3. Step 3: Cross multiply
    298,808.49x = 412,355.72 × 164,672.49
  4. Step 4: Simplify right side
    298,808.49x = 67,903,643,178.14
  5. Step 5: Solve for x
    x = 67,903,643,178.14/298,808.49
  6. Step 6: Final answer
    x = 227,248.04

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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.