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Finding the Fourth Proportional to 412,640, 618,996 and 117,152

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Solution

The fourth proportional to 412,640, 618,996 and 117,152 is: 175,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,640 : 618,996 = 117,152 : x
  2. Step 2: Convert to fraction form
    412,640/618,996 = 117,152/x
  3. Step 3: Cross multiply
    412,640x = 618,996 × 117,152
  4. Step 4: Simplify right side
    412,640x = 72,516,619,392
  5. Step 5: Solve for x
    x = 72,516,619,392/412,640
  6. Step 6: Final answer
    x = 175,738.22

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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.