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Finding the Fourth Proportional to 317,174.42, 475,688.00 and 189,126.46

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Solution

The fourth proportional to 317,174.42, 475,688.00 and 189,126.46 is: 283,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,174.42 : 475,688.00 = 189,126.46 : x
  2. Step 2: Convert to fraction form
    317,174.42/475,688.00 = 189,126.46/x
  3. Step 3: Cross multiply
    317,174.42x = 475,688.00 × 189,126.46
  4. Step 4: Simplify right side
    317,174.42x = 89,965,186,558.85
  5. Step 5: Solve for x
    x = 89,965,186,558.85/317,174.42
  6. Step 6: Final answer
    x = 283,645.78

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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.