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Finding the Fourth Proportional to 315,097.96, 471,536.70 and 196,825

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Solution

The fourth proportional to 315,097.96, 471,536.70 and 196,825 is: 294,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.96 : 471,536.70 = 196,825 : x
  2. Step 2: Convert to fraction form
    315,097.96/471,536.70 = 196,825/x
  3. Step 3: Cross multiply
    315,097.96x = 471,536.70 × 196,825
  4. Step 4: Simplify right side
    315,097.96x = 92,810,210,977.50
  5. Step 5: Solve for x
    x = 92,810,210,977.50/315,097.96
  6. Step 6: Final answer
    x = 294,543.99

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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.