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Finding the Fourth Proportional to 298,406.48, 447,614.48 and 166,127.54

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Solution

The fourth proportional to 298,406.48, 447,614.48 and 166,127.54 is: 249,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,406.48 : 447,614.48 = 166,127.54 : x
  2. Step 2: Convert to fraction form
    298,406.48/447,614.48 = 166,127.54/x
  3. Step 3: Cross multiply
    298,406.48x = 447,614.48 × 166,127.54
  4. Step 4: Simplify right side
    298,406.48x = 74,361,093,965.13
  5. Step 5: Solve for x
    x = 74,361,093,965.13/298,406.48
  6. Step 6: Final answer
    x = 249,193.96

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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.