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Finding the Fourth Proportional to 224,948.94, 308,777.12 and 198,884.34

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Solution

The fourth proportional to 224,948.94, 308,777.12 and 198,884.34 is: 272,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,948.94 : 308,777.12 = 198,884.34 : x
  2. Step 2: Convert to fraction form
    224,948.94/308,777.12 = 198,884.34/x
  3. Step 3: Cross multiply
    224,948.94x = 308,777.12 × 198,884.34
  4. Step 4: Simplify right side
    224,948.94x = 61,410,933,718.30
  5. Step 5: Solve for x
    x = 61,410,933,718.30/224,948.94
  6. Step 6: Final answer
    x = 272,999.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.