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Finding the Fourth Proportional to 357,333.02, 493,120.52 and 196,198.50

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Solution

The fourth proportional to 357,333.02, 493,120.52 and 196,198.50 is: 270,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,333.02 : 493,120.52 = 196,198.50 : x
  2. Step 2: Convert to fraction form
    357,333.02/493,120.52 = 196,198.50/x
  3. Step 3: Cross multiply
    357,333.02x = 493,120.52 × 196,198.50
  4. Step 4: Simplify right side
    357,333.02x = 96,749,509,050.79
  5. Step 5: Solve for x
    x = 96,749,509,050.79/357,333.02
  6. Step 6: Final answer
    x = 270,754.46

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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.