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Finding the Fourth Proportional to 298,419.33, 447,614.42 and 111,416.25

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Solution

The fourth proportional to 298,419.33, 447,614.42 and 111,416.25 is: 167,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,419.33 : 447,614.42 = 111,416.25 : x
  2. Step 2: Convert to fraction form
    298,419.33/447,614.42 = 111,416.25/x
  3. Step 3: Cross multiply
    298,419.33x = 447,614.42 × 111,416.25
  4. Step 4: Simplify right side
    298,419.33x = 49,871,519,565.24
  5. Step 5: Solve for x
    x = 49,871,519,565.24/298,419.33
  6. Step 6: Final answer
    x = 167,118.93

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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.