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Finding the Fourth Proportional to 448,758.20, 619,300.14 and 257,809.88

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Solution

The fourth proportional to 448,758.20, 619,300.14 and 257,809.88 is: 355,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,758.20 : 619,300.14 = 257,809.88 : x
  2. Step 2: Convert to fraction form
    448,758.20/619,300.14 = 257,809.88/x
  3. Step 3: Cross multiply
    448,758.20x = 619,300.14 × 257,809.88
  4. Step 4: Simplify right side
    448,758.20x = 159,661,694,777.38
  5. Step 5: Solve for x
    x = 159,661,694,777.38/448,758.20
  6. Step 6: Final answer
    x = 355,785.58

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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.