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Finding the Fourth Proportional to 294,821.44, 440,087.12 and 257,496.64

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Solution

The fourth proportional to 294,821.44, 440,087.12 and 257,496.64 is: 384,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,821.44 : 440,087.12 = 257,496.64 : x
  2. Step 2: Convert to fraction form
    294,821.44/440,087.12 = 257,496.64/x
  3. Step 3: Cross multiply
    294,821.44x = 440,087.12 × 257,496.64
  4. Step 4: Simplify right side
    294,821.44x = 113,320,954,707.28
  5. Step 5: Solve for x
    x = 113,320,954,707.28/294,821.44
  6. Step 6: Final answer
    x = 384,371.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.