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Finding the Fourth Proportional to 298,644.90, 447,967.35 and 111,632.10

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Solution

The fourth proportional to 298,644.90, 447,967.35 and 111,632.10 is: 167,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,644.90 : 447,967.35 = 111,632.10 : x
  2. Step 2: Convert to fraction form
    298,644.90/447,967.35 = 111,632.10/x
  3. Step 3: Cross multiply
    298,644.90x = 447,967.35 × 111,632.10
  4. Step 4: Simplify right side
    298,644.90x = 50,007,536,011.94
  5. Step 5: Solve for x
    x = 50,007,536,011.94/298,644.90
  6. Step 6: Final answer
    x = 167,448.15

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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.