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Finding the Fourth Proportional to 298,388.81, 447,587.86 and 166,109.84

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Solution

The fourth proportional to 298,388.81, 447,587.86 and 166,109.84 is: 249,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.81 : 447,587.86 = 166,109.84 : x
  2. Step 2: Convert to fraction form
    298,388.81/447,587.86 = 166,109.84/x
  3. Step 3: Cross multiply
    298,388.81x = 447,587.86 × 166,109.84
  4. Step 4: Simplify right side
    298,388.81x = 74,348,747,147.24
  5. Step 5: Solve for x
    x = 74,348,747,147.24/298,388.81
  6. Step 6: Final answer
    x = 249,167.34

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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.