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Finding the Fourth Proportional to 505,512, 758,851.20 and 256,718.88

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Solution

The fourth proportional to 505,512, 758,851.20 and 256,718.88 is: 385,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,512 : 758,851.20 = 256,718.88 : x
  2. Step 2: Convert to fraction form
    505,512/758,851.20 = 256,718.88/x
  3. Step 3: Cross multiply
    505,512x = 758,851.20 × 256,718.88
  4. Step 4: Simplify right side
    505,512x = 194,811,430,150.66
  5. Step 5: Solve for x
    x = 194,811,430,150.66/505,512
  6. Step 6: Final answer
    x = 385,374.49

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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.