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Finding the Fourth Proportional to 298,662.35, 447,731.08 and 111,630.11

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Solution

The fourth proportional to 298,662.35, 447,731.08 and 111,630.11 is: 167,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,662.35 : 447,731.08 = 111,630.11 : x
  2. Step 2: Convert to fraction form
    298,662.35/447,731.08 = 111,630.11/x
  3. Step 3: Cross multiply
    298,662.35x = 447,731.08 × 111,630.11
  4. Step 4: Simplify right side
    298,662.35x = 49,980,267,193.09
  5. Step 5: Solve for x
    x = 49,980,267,193.09/298,662.35
  6. Step 6: Final answer
    x = 167,347.07

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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.