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Finding the Fourth Proportional to 497,776.94, 746,601.85 and 160,782.58

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Solution

The fourth proportional to 497,776.94, 746,601.85 and 160,782.58 is: 241,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,776.94 : 746,601.85 = 160,782.58 : x
  2. Step 2: Convert to fraction form
    497,776.94/746,601.85 = 160,782.58/x
  3. Step 3: Cross multiply
    497,776.94x = 746,601.85 × 160,782.58
  4. Step 4: Simplify right side
    497,776.94x = 120,040,571,675.77
  5. Step 5: Solve for x
    x = 120,040,571,675.77/497,776.94
  6. Step 6: Final answer
    x = 241,153.34

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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.