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Finding the Fourth Proportional to 301,405.50, 415,939.59 and 167,269.50

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Solution

The fourth proportional to 301,405.50, 415,939.59 and 167,269.50 is: 230,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,405.50 : 415,939.59 = 167,269.50 : x
  2. Step 2: Convert to fraction form
    301,405.50/415,939.59 = 167,269.50/x
  3. Step 3: Cross multiply
    301,405.50x = 415,939.59 × 167,269.50
  4. Step 4: Simplify right side
    301,405.50x = 69,574,007,249.51
  5. Step 5: Solve for x
    x = 69,574,007,249.51/301,405.50
  6. Step 6: Final answer
    x = 230,831.91

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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.