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Finding the Fourth Proportional to 298,412.43, 447,623.30 and 166,133.42

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Solution

The fourth proportional to 298,412.43, 447,623.30 and 166,133.42 is: 249,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.43 : 447,623.30 = 166,133.42 : x
  2. Step 2: Convert to fraction form
    298,412.43/447,623.30 = 166,133.42/x
  3. Step 3: Cross multiply
    298,412.43x = 447,623.30 × 166,133.42
  4. Step 4: Simplify right side
    298,412.43x = 74,365,189,700.69
  5. Step 5: Solve for x
    x = 74,365,189,700.69/298,412.43
  6. Step 6: Final answer
    x = 249,202.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.