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Finding the Fourth Proportional to 295,228, 407,412.48 and 167,903.44

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Solution

The fourth proportional to 295,228, 407,412.48 and 167,903.44 is: 231,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,228 : 407,412.48 = 167,903.44 : x
  2. Step 2: Convert to fraction form
    295,228/407,412.48 = 167,903.44/x
  3. Step 3: Cross multiply
    295,228x = 407,412.48 × 167,903.44
  4. Step 4: Simplify right side
    295,228x = 68,405,956,890.93
  5. Step 5: Solve for x
    x = 68,405,956,890.93/295,228
  6. Step 6: Final answer
    x = 231,705.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.