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Finding the Fourth Proportional to 170,978.56, 256,475.04 and 46,319.44

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Solution

The fourth proportional to 170,978.56, 256,475.04 and 46,319.44 is: 69,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,978.56 : 256,475.04 = 46,319.44 : x
  2. Step 2: Convert to fraction form
    170,978.56/256,475.04 = 46,319.44/x
  3. Step 3: Cross multiply
    170,978.56x = 256,475.04 × 46,319.44
  4. Step 4: Simplify right side
    170,978.56x = 11,879,780,226.78
  5. Step 5: Solve for x
    x = 11,879,780,226.78/170,978.56
  6. Step 6: Final answer
    x = 69,481.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.