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Finding the Fourth Proportional to 357,772.60, 536,198.10 and 274,252.60

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Solution

The fourth proportional to 357,772.60, 536,198.10 and 274,252.60 is: 411,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,772.60 : 536,198.10 = 274,252.60 : x
  2. Step 2: Convert to fraction form
    357,772.60/536,198.10 = 274,252.60/x
  3. Step 3: Cross multiply
    357,772.60x = 536,198.10 × 274,252.60
  4. Step 4: Simplify right side
    357,772.60x = 147,053,723,040.06
  5. Step 5: Solve for x
    x = 147,053,723,040.06/357,772.60
  6. Step 6: Final answer
    x = 411,025.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.