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Finding the Fourth Proportional to 402,642.30, 603,520.46 and 165,855.80

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Solution

The fourth proportional to 402,642.30, 603,520.46 and 165,855.80 is: 248,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,642.30 : 603,520.46 = 165,855.80 : x
  2. Step 2: Convert to fraction form
    402,642.30/603,520.46 = 165,855.80/x
  3. Step 3: Cross multiply
    402,642.30x = 603,520.46 × 165,855.80
  4. Step 4: Simplify right side
    402,642.30x = 100,097,368,709.67
  5. Step 5: Solve for x
    x = 100,097,368,709.67/402,642.30
  6. Step 6: Final answer
    x = 248,601.22

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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.