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Finding the Fourth Proportional to 289,969.64, 400,333.02 and 189,542.60

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Solution

The fourth proportional to 289,969.64, 400,333.02 and 189,542.60 is: 261,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,969.64 : 400,333.02 = 189,542.60 : x
  2. Step 2: Convert to fraction form
    289,969.64/400,333.02 = 189,542.60/x
  3. Step 3: Cross multiply
    289,969.64x = 400,333.02 × 189,542.60
  4. Step 4: Simplify right side
    289,969.64x = 75,880,161,476.65
  5. Step 5: Solve for x
    x = 75,880,161,476.65/289,969.64
  6. Step 6: Final answer
    x = 261,683.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.