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Finding the Fourth Proportional to 298,459.08, 447,674.04 and 111,456

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Solution

The fourth proportional to 298,459.08, 447,674.04 and 111,456 is: 167,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,459.08 : 447,674.04 = 111,456 : x
  2. Step 2: Convert to fraction form
    298,459.08/447,674.04 = 111,456/x
  3. Step 3: Cross multiply
    298,459.08x = 447,674.04 × 111,456
  4. Step 4: Simplify right side
    298,459.08x = 49,895,957,802.24
  5. Step 5: Solve for x
    x = 49,895,957,802.24/298,459.08
  6. Step 6: Final answer
    x = 167,178.56

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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.