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Finding the Fourth Proportional to 2,340,144, 3,510,216 and 567,216

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Solution

The fourth proportional to 2,340,144, 3,510,216 and 567,216 is: 850,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340,144 : 3,510,216 = 567,216 : x
  2. Step 2: Convert to fraction form
    2,340,144/3,510,216 = 567,216/x
  3. Step 3: Cross multiply
    2,340,144x = 3,510,216 × 567,216
  4. Step 4: Simplify right side
    2,340,144x = 1,991,050,678,656
  5. Step 5: Solve for x
    x = 1,991,050,678,656/2,340,144
  6. Step 6: Final answer
    x = 850,824

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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.