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Finding the Fourth Proportional to 646,101.41, 969,290.64 and 196,858.53

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Solution

The fourth proportional to 646,101.41, 969,290.64 and 196,858.53 is: 295,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,101.41 : 969,290.64 = 196,858.53 : x
  2. Step 2: Convert to fraction form
    646,101.41/969,290.64 = 196,858.53/x
  3. Step 3: Cross multiply
    646,101.41x = 969,290.64 × 196,858.53
  4. Step 4: Simplify right side
    646,101.41x = 190,813,130,533.16
  5. Step 5: Solve for x
    x = 190,813,130,533.16/646,101.41
  6. Step 6: Final answer
    x = 295,330.00

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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.