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Finding the Fourth Proportional to 305,292.54, 420,937.56 and 197,823.36

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Solution

The fourth proportional to 305,292.54, 420,937.56 and 197,823.36 is: 272,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,292.54 : 420,937.56 = 197,823.36 : x
  2. Step 2: Convert to fraction form
    305,292.54/420,937.56 = 197,823.36/x
  3. Step 3: Cross multiply
    305,292.54x = 420,937.56 × 197,823.36
  4. Step 4: Simplify right side
    305,292.54x = 83,271,282,469.40
  5. Step 5: Solve for x
    x = 83,271,282,469.40/305,292.54
  6. Step 6: Final answer
    x = 272,758.98

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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.