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Finding the Fourth Proportional to 471,520.37, 707,273.64 and 116,534.42

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Solution

The fourth proportional to 471,520.37, 707,273.64 and 116,534.42 is: 174,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,520.37 : 707,273.64 = 116,534.42 : x
  2. Step 2: Convert to fraction form
    471,520.37/707,273.64 = 116,534.42/x
  3. Step 3: Cross multiply
    471,520.37x = 707,273.64 × 116,534.42
  4. Step 4: Simplify right side
    471,520.37x = 82,421,719,882.32
  5. Step 5: Solve for x
    x = 82,421,719,882.32/471,520.37
  6. Step 6: Final answer
    x = 174,799.92

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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.