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Finding the Fourth Proportional to 257,694.58, 355,617.84 and 144,519.76

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Solution

The fourth proportional to 257,694.58, 355,617.84 and 144,519.76 is: 199,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694.58 : 355,617.84 = 144,519.76 : x
  2. Step 2: Convert to fraction form
    257,694.58/355,617.84 = 144,519.76/x
  3. Step 3: Cross multiply
    257,694.58x = 355,617.84 × 144,519.76
  4. Step 4: Simplify right side
    257,694.58x = 51,393,804,888.52
  5. Step 5: Solve for x
    x = 51,393,804,888.52/257,694.58
  6. Step 6: Final answer
    x = 199,436.89

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1.5x scale

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.