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Finding the Fourth Proportional to 298,297.08, 447,431.04 and 111,294

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Solution

The fourth proportional to 298,297.08, 447,431.04 and 111,294 is: 166,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.08 : 447,431.04 = 111,294 : x
  2. Step 2: Convert to fraction form
    298,297.08/447,431.04 = 111,294/x
  3. Step 3: Cross multiply
    298,297.08x = 447,431.04 × 111,294
  4. Step 4: Simplify right side
    298,297.08x = 49,796,390,165.76
  5. Step 5: Solve for x
    x = 49,796,390,165.76/298,297.08
  6. Step 6: Final answer
    x = 166,935.56

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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.