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Finding the Fourth Proportional to 301,055.46, 415,266.12 and 193,440.48

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Solution

The fourth proportional to 301,055.46, 415,266.12 and 193,440.48 is: 266,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,055.46 : 415,266.12 = 193,440.48 : x
  2. Step 2: Convert to fraction form
    301,055.46/415,266.12 = 193,440.48/x
  3. Step 3: Cross multiply
    301,055.46x = 415,266.12 × 193,440.48
  4. Step 4: Simplify right side
    301,055.46x = 80,329,277,580.54
  5. Step 5: Solve for x
    x = 80,329,277,580.54/301,055.46
  6. Step 6: Final answer
    x = 266,825.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.