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Finding the Fourth Proportional to 471,198.06, 650,254.23 and 256,339.08

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Solution

The fourth proportional to 471,198.06, 650,254.23 and 256,339.08 is: 353,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,198.06 : 650,254.23 = 256,339.08 : x
  2. Step 2: Convert to fraction form
    471,198.06/650,254.23 = 256,339.08/x
  3. Step 3: Cross multiply
    471,198.06x = 650,254.23 × 256,339.08
  4. Step 4: Simplify right side
    471,198.06x = 166,685,571,084.31
  5. Step 5: Solve for x
    x = 166,685,571,084.31/471,198.06
  6. Step 6: Final answer
    x = 353,748.42

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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.