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Finding the Fourth Proportional to 465,773.80, 698,199.90 and 228,922.60

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Solution

The fourth proportional to 465,773.80, 698,199.90 and 228,922.60 is: 343,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,773.80 : 698,199.90 = 228,922.60 : x
  2. Step 2: Convert to fraction form
    465,773.80/698,199.90 = 228,922.60/x
  3. Step 3: Cross multiply
    465,773.80x = 698,199.90 × 228,922.60
  4. Step 4: Simplify right side
    465,773.80x = 159,833,736,427.74
  5. Step 5: Solve for x
    x = 159,833,736,427.74/465,773.80
  6. Step 6: Final answer
    x = 343,157.42

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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.