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Finding the Fourth Proportional to 422,115.56, 633,173.93 and 122,597

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Solution

The fourth proportional to 422,115.56, 633,173.93 and 122,597 is: 183,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,115.56 : 633,173.93 = 122,597 : x
  2. Step 2: Convert to fraction form
    422,115.56/633,173.93 = 122,597/x
  3. Step 3: Cross multiply
    422,115.56x = 633,173.93 × 122,597
  4. Step 4: Simplify right side
    422,115.56x = 77,625,223,683.23
  5. Step 5: Solve for x
    x = 77,625,223,683.23/422,115.56
  6. Step 6: Final answer
    x = 183,895.67

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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.