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Finding the Fourth Proportional to 471,853.44, 651,154.41 and 256,992.84

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Solution

The fourth proportional to 471,853.44, 651,154.41 and 256,992.84 is: 354,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,853.44 : 651,154.41 = 256,992.84 : x
  2. Step 2: Convert to fraction form
    471,853.44/651,154.41 = 256,992.84/x
  3. Step 3: Cross multiply
    471,853.44x = 651,154.41 × 256,992.84
  4. Step 4: Simplify right side
    471,853.44x = 167,342,021,104.42
  5. Step 5: Solve for x
    x = 167,342,021,104.42/471,853.44
  6. Step 6: Final answer
    x = 354,648.30

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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.