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Finding the Fourth Proportional to 448,806.45, 619,459.20 and 257,930.49

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Solution

The fourth proportional to 448,806.45, 619,459.20 and 257,930.49 is: 356,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,806.45 : 619,459.20 = 257,930.49 : x
  2. Step 2: Convert to fraction form
    448,806.45/619,459.20 = 257,930.49/x
  3. Step 3: Cross multiply
    448,806.45x = 619,459.20 × 257,930.49
  4. Step 4: Simplify right side
    448,806.45x = 159,777,414,991.01
  5. Step 5: Solve for x
    x = 159,777,414,991.01/448,806.45
  6. Step 6: Final answer
    x = 356,005.17

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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.