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Finding the Fourth Proportional to 979,968, 1,469,952 and 315,120

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Solution

The fourth proportional to 979,968, 1,469,952 and 315,120 is: 472,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,968 : 1,469,952 = 315,120 : x
  2. Step 2: Convert to fraction form
    979,968/1,469,952 = 315,120/x
  3. Step 3: Cross multiply
    979,968x = 1,469,952 × 315,120
  4. Step 4: Simplify right side
    979,968x = 463,211,274,240
  5. Step 5: Solve for x
    x = 463,211,274,240/979,968
  6. Step 6: Final answer
    x = 472,680

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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.