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Finding the Fourth Proportional to 320,642.88, 480,959.44 and 110,282.64

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Solution

The fourth proportional to 320,642.88, 480,959.44 and 110,282.64 is: 165,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,642.88 : 480,959.44 = 110,282.64 : x
  2. Step 2: Convert to fraction form
    320,642.88/480,959.44 = 110,282.64/x
  3. Step 3: Cross multiply
    320,642.88x = 480,959.44 × 110,282.64
  4. Step 4: Simplify right side
    320,642.88x = 53,041,476,776.12
  5. Step 5: Solve for x
    x = 53,041,476,776.12/320,642.88
  6. Step 6: Final answer
    x = 165,422.28

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1.5x scale

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.