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Finding the Fourth Proportional to 298,241.76, 447,224.40 and 111,203.04

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Solution

The fourth proportional to 298,241.76, 447,224.40 and 111,203.04 is: 166,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,241.76 : 447,224.40 = 111,203.04 : x
  2. Step 2: Convert to fraction form
    298,241.76/447,224.40 = 111,203.04/x
  3. Step 3: Cross multiply
    298,241.76x = 447,224.40 × 111,203.04
  4. Step 4: Simplify right side
    298,241.76x = 49,732,712,842.18
  5. Step 5: Solve for x
    x = 49,732,712,842.18/298,241.76
  6. Step 6: Final answer
    x = 166,753.02

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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.