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Finding the Fourth Proportional to 496,923.16, 685,762.26 and 282,069.82

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Solution

The fourth proportional to 496,923.16, 685,762.26 and 282,069.82 is: 389,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,923.16 : 685,762.26 = 282,069.82 : x
  2. Step 2: Convert to fraction form
    496,923.16/685,762.26 = 282,069.82/x
  3. Step 3: Cross multiply
    496,923.16x = 685,762.26 × 282,069.82
  4. Step 4: Simplify right side
    496,923.16x = 193,432,837,240.99
  5. Step 5: Solve for x
    x = 193,432,837,240.99/496,923.16
  6. Step 6: Final answer
    x = 389,261.06

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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.