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Finding the Fourth Proportional to 496,927.71, 685,771.52 and 282,047.67

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Solution

The fourth proportional to 496,927.71, 685,771.52 and 282,047.67 is: 389,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,927.71 : 685,771.52 = 282,047.67 : x
  2. Step 2: Convert to fraction form
    496,927.71/685,771.52 = 282,047.67/x
  3. Step 3: Cross multiply
    496,927.71x = 685,771.52 × 282,047.67
  4. Step 4: Simplify right side
    496,927.71x = 193,420,257,958.12
  5. Step 5: Solve for x
    x = 193,420,257,958.12/496,927.71
  6. Step 6: Final answer
    x = 389,232.18

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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.