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Finding the Fourth Proportional to 646,137.47, 969,350.76 and 196,893.50

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Solution

The fourth proportional to 646,137.47, 969,350.76 and 196,893.50 is: 295,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,137.47 : 969,350.76 = 196,893.50 : x
  2. Step 2: Convert to fraction form
    646,137.47/969,350.76 = 196,893.50/x
  3. Step 3: Cross multiply
    646,137.47x = 969,350.76 × 196,893.50
  4. Step 4: Simplify right side
    646,137.47x = 190,858,859,017.31
  5. Step 5: Solve for x
    x = 190,858,859,017.31/646,137.47
  6. Step 6: Final answer
    x = 295,384.29

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1.5x scale

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.