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Finding the Fourth Proportional to 298,398.44, 447,602.40 and 166,119.47

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Solution

The fourth proportional to 298,398.44, 447,602.40 and 166,119.47 is: 249,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,398.44 : 447,602.40 = 166,119.47 : x
  2. Step 2: Convert to fraction form
    298,398.44/447,602.40 = 166,119.47/x
  3. Step 3: Cross multiply
    298,398.44x = 447,602.40 × 166,119.47
  4. Step 4: Simplify right side
    298,398.44x = 74,355,471,220.72
  5. Step 5: Solve for x
    x = 74,355,471,220.72/298,398.44
  6. Step 6: Final answer
    x = 249,181.84

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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.