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Finding the Fourth Proportional to 358,197.66, 494,257.95 and 207,265.50

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Solution

The fourth proportional to 358,197.66, 494,257.95 and 207,265.50 is: 285,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,197.66 : 494,257.95 = 207,265.50 : x
  2. Step 2: Convert to fraction form
    358,197.66/494,257.95 = 207,265.50/x
  3. Step 3: Cross multiply
    358,197.66x = 494,257.95 × 207,265.50
  4. Step 4: Simplify right side
    358,197.66x = 102,442,621,135.73
  5. Step 5: Solve for x
    x = 102,442,621,135.73/358,197.66
  6. Step 6: Final answer
    x = 285,994.67

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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.