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Finding the Fourth Proportional to 496,942.64, 685,762.16 and 303,673.52

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Solution

The fourth proportional to 496,942.64, 685,762.16 and 303,673.52 is: 419,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,942.64 : 685,762.16 = 303,673.52 : x
  2. Step 2: Convert to fraction form
    496,942.64/685,762.16 = 303,673.52/x
  3. Step 3: Cross multiply
    496,942.64x = 685,762.16 × 303,673.52
  4. Step 4: Simplify right side
    496,942.64x = 208,247,809,206.04
  5. Step 5: Solve for x
    x = 208,247,809,206.04/496,942.64
  6. Step 6: Final answer
    x = 419,058.04

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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.