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Finding the Fourth Proportional to 419,540.78, 579,008.10 and 256,188.28

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Solution

The fourth proportional to 419,540.78, 579,008.10 and 256,188.28 is: 353,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,540.78 : 579,008.10 = 256,188.28 : x
  2. Step 2: Convert to fraction form
    419,540.78/579,008.10 = 256,188.28/x
  3. Step 3: Cross multiply
    419,540.78x = 579,008.10 × 256,188.28
  4. Step 4: Simplify right side
    419,540.78x = 148,335,089,245.07
  5. Step 5: Solve for x
    x = 148,335,089,245.07/419,540.78
  6. Step 6: Final answer
    x = 353,565.37

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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.