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Finding the Fourth Proportional to 277,404.08, 415,738.24 and 142,462.70

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Solution

The fourth proportional to 277,404.08, 415,738.24 and 142,462.70 is: 213,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404.08 : 415,738.24 = 142,462.70 : x
  2. Step 2: Convert to fraction form
    277,404.08/415,738.24 = 142,462.70/x
  3. Step 3: Cross multiply
    277,404.08x = 415,738.24 × 142,462.70
  4. Step 4: Simplify right side
    277,404.08x = 59,227,191,287.82
  5. Step 5: Solve for x
    x = 59,227,191,287.82/277,404.08
  6. Step 6: Final answer
    x = 213,505.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.