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Finding the Fourth Proportional to 513,534.63, 770,632.43 and 277,040.55

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Solution

The fourth proportional to 513,534.63, 770,632.43 and 277,040.55 is: 415,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,534.63 : 770,632.43 = 277,040.55 : x
  2. Step 2: Convert to fraction form
    513,534.63/770,632.43 = 277,040.55/x
  3. Step 3: Cross multiply
    513,534.63x = 770,632.43 × 277,040.55
  4. Step 4: Simplify right side
    513,534.63x = 213,496,435,318.06
  5. Step 5: Solve for x
    x = 213,496,435,318.06/513,534.63
  6. Step 6: Final answer
    x = 415,739.12

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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.