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Finding the Fourth Proportional to 271,444.32, 407,168.64 and 111,479.04

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Solution

The fourth proportional to 271,444.32, 407,168.64 and 111,479.04 is: 167,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,444.32 : 407,168.64 = 111,479.04 : x
  2. Step 2: Convert to fraction form
    271,444.32/407,168.64 = 111,479.04/x
  3. Step 3: Cross multiply
    271,444.32x = 407,168.64 × 111,479.04
  4. Step 4: Simplify right side
    271,444.32x = 45,390,769,105.31
  5. Step 5: Solve for x
    x = 45,390,769,105.31/271,444.32
  6. Step 6: Final answer
    x = 167,219.45

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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.