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Finding the Fourth Proportional to 448,806.28, 619,291.23 and 257,819.62

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Solution

The fourth proportional to 448,806.28, 619,291.23 and 257,819.62 is: 355,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,806.28 : 619,291.23 = 257,819.62 : x
  2. Step 2: Convert to fraction form
    448,806.28/619,291.23 = 257,819.62/x
  3. Step 3: Cross multiply
    448,806.28x = 619,291.23 × 257,819.62
  4. Step 4: Simplify right side
    448,806.28x = 159,665,429,587.93
  5. Step 5: Solve for x
    x = 159,665,429,587.93/448,806.28
  6. Step 6: Final answer
    x = 355,755.78

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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.