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Finding the Fourth Proportional to 294,398.40, 405,861.63 and 198,753.60

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Solution

The fourth proportional to 294,398.40, 405,861.63 and 198,753.60 is: 274,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,398.40 : 405,861.63 = 198,753.60 : x
  2. Step 2: Convert to fraction form
    294,398.40/405,861.63 = 198,753.60/x
  3. Step 3: Cross multiply
    294,398.40x = 405,861.63 × 198,753.60
  4. Step 4: Simplify right side
    294,398.40x = 80,666,460,064.37
  5. Step 5: Solve for x
    x = 80,666,460,064.37/294,398.40
  6. Step 6: Final answer
    x = 274,004.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.