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Finding the Fourth Proportional to 313,770.52, 470,465.88 and 126,563.32

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Solution

The fourth proportional to 313,770.52, 470,465.88 and 126,563.32 is: 189,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,770.52 : 470,465.88 = 126,563.32 : x
  2. Step 2: Convert to fraction form
    313,770.52/470,465.88 = 126,563.32/x
  3. Step 3: Cross multiply
    313,770.52x = 470,465.88 × 126,563.32
  4. Step 4: Simplify right side
    313,770.52x = 59,543,723,719.52
  5. Step 5: Solve for x
    x = 59,543,723,719.52/313,770.52
  6. Step 6: Final answer
    x = 189,768.38

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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.