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Finding the Fourth Proportional to 422,427.60, 633,641.40 and 262,630.80

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Solution

The fourth proportional to 422,427.60, 633,641.40 and 262,630.80 is: 393,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,427.60 : 633,641.40 = 262,630.80 : x
  2. Step 2: Convert to fraction form
    422,427.60/633,641.40 = 262,630.80/x
  3. Step 3: Cross multiply
    422,427.60x = 633,641.40 × 262,630.80
  4. Step 4: Simplify right side
    422,427.60x = 166,413,747,795.12
  5. Step 5: Solve for x
    x = 166,413,747,795.12/422,427.60
  6. Step 6: Final answer
    x = 393,946.20

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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.