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Finding the Fourth Proportional to 497,776.70, 746,601.48 and 160,782.33

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Solution

The fourth proportional to 497,776.70, 746,601.48 and 160,782.33 is: 241,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,776.70 : 746,601.48 = 160,782.33 : x
  2. Step 2: Convert to fraction form
    497,776.70/746,601.48 = 160,782.33/x
  3. Step 3: Cross multiply
    497,776.70x = 746,601.48 × 160,782.33
  4. Step 4: Simplify right side
    497,776.70x = 120,040,325,535.85
  5. Step 5: Solve for x
    x = 120,040,325,535.85/497,776.70
  6. Step 6: Final answer
    x = 241,152.96

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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.