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Finding the Fourth Proportional to 448,806.12, 619,407.21 and 257,819.04

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Solution

The fourth proportional to 448,806.12, 619,407.21 and 257,819.04 is: 355,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,806.12 : 619,407.21 = 257,819.04 : x
  2. Step 2: Convert to fraction form
    448,806.12/619,407.21 = 257,819.04/x
  3. Step 3: Cross multiply
    448,806.12x = 619,407.21 × 257,819.04
  4. Step 4: Simplify right side
    448,806.12x = 159,694,972,251.28
  5. Step 5: Solve for x
    x = 159,694,972,251.28/448,806.12
  6. Step 6: Final answer
    x = 355,821.73

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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.