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Finding the Fourth Proportional to 2,783,700, 4,175,550 and 682,452

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Solution

The fourth proportional to 2,783,700, 4,175,550 and 682,452 is: 1,023,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,700 : 4,175,550 = 682,452 : x
  2. Step 2: Convert to fraction form
    2,783,700/4,175,550 = 682,452/x
  3. Step 3: Cross multiply
    2,783,700x = 4,175,550 × 682,452
  4. Step 4: Simplify right side
    2,783,700x = 2,849,612,448,600
  5. Step 5: Solve for x
    x = 2,849,612,448,600/2,783,700
  6. Step 6: Final answer
    x = 1,023,678

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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.