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Finding the Fourth Proportional to 357,146.88, 492,861.14 and 196,004.54

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Solution

The fourth proportional to 357,146.88, 492,861.14 and 196,004.54 is: 270,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,146.88 : 492,861.14 = 196,004.54 : x
  2. Step 2: Convert to fraction form
    357,146.88/492,861.14 = 196,004.54/x
  3. Step 3: Cross multiply
    357,146.88x = 492,861.14 × 196,004.54
  4. Step 4: Simplify right side
    357,146.88x = 96,603,018,565.27
  5. Step 5: Solve for x
    x = 96,603,018,565.27/357,146.88
  6. Step 6: Final answer
    x = 270,485.41

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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.