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Finding the Fourth Proportional to 305,658.50, 457,841.36 and 193,280.72

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Solution

The fourth proportional to 305,658.50, 457,841.36 and 193,280.72 is: 289,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658.50 : 457,841.36 = 193,280.72 : x
  2. Step 2: Convert to fraction form
    305,658.50/457,841.36 = 193,280.72/x
  3. Step 3: Cross multiply
    305,658.50x = 457,841.36 × 193,280.72
  4. Step 4: Simplify right side
    305,658.50x = 88,491,905,900.57
  5. Step 5: Solve for x
    x = 88,491,905,900.57/305,658.50
  6. Step 6: Final answer
    x = 289,512.34

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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.