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Finding the Fourth Proportional to 471,427.53, 707,164.66 and 134,517.81

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Solution

The fourth proportional to 471,427.53, 707,164.66 and 134,517.81 is: 201,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,427.53 : 707,164.66 = 134,517.81 : x
  2. Step 2: Convert to fraction form
    471,427.53/707,164.66 = 134,517.81/x
  3. Step 3: Cross multiply
    471,427.53x = 707,164.66 × 134,517.81
  4. Step 4: Simplify right side
    471,427.53x = 95,126,241,372.59
  5. Step 5: Solve for x
    x = 95,126,241,372.59/471,427.53
  6. Step 6: Final answer
    x = 201,783.38

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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.