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Finding the Fourth Proportional to 1,382,920, 2,074,380 and 332,296

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Solution

The fourth proportional to 1,382,920, 2,074,380 and 332,296 is: 498,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,920 : 2,074,380 = 332,296 : x
  2. Step 2: Convert to fraction form
    1,382,920/2,074,380 = 332,296/x
  3. Step 3: Cross multiply
    1,382,920x = 2,074,380 × 332,296
  4. Step 4: Simplify right side
    1,382,920x = 689,308,176,480
  5. Step 5: Solve for x
    x = 689,308,176,480/1,382,920
  6. Step 6: Final answer
    x = 498,444

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.