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Finding the Fourth Proportional to 513,846.56, 770,886.84 and 277,184

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Solution

The fourth proportional to 513,846.56, 770,886.84 and 277,184 is: 415,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,846.56 : 770,886.84 = 277,184 : x
  2. Step 2: Convert to fraction form
    513,846.56/770,886.84 = 277,184/x
  3. Step 3: Cross multiply
    513,846.56x = 770,886.84 × 277,184
  4. Step 4: Simplify right side
    513,846.56x = 213,677,497,858.56
  5. Step 5: Solve for x
    x = 213,677,497,858.56/513,846.56
  6. Step 6: Final answer
    x = 415,839.11

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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.