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Finding the Fourth Proportional to 620,311.40, 930,596.70 and 199,629.80

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Solution

The fourth proportional to 620,311.40, 930,596.70 and 199,629.80 is: 299,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,311.40 : 930,596.70 = 199,629.80 : x
  2. Step 2: Convert to fraction form
    620,311.40/930,596.70 = 199,629.80/x
  3. Step 3: Cross multiply
    620,311.40x = 930,596.70 × 199,629.80
  4. Step 4: Simplify right side
    620,311.40x = 185,774,833,101.66
  5. Step 5: Solve for x
    x = 185,774,833,101.66/620,311.40
  6. Step 6: Final answer
    x = 299,486.41

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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.