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Finding the Fourth Proportional to 460,461.05, 690,765.39 and 194,260.78

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Solution

The fourth proportional to 460,461.05, 690,765.39 and 194,260.78 is: 291,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,461.05 : 690,765.39 = 194,260.78 : x
  2. Step 2: Convert to fraction form
    460,461.05/690,765.39 = 194,260.78/x
  3. Step 3: Cross multiply
    460,461.05x = 690,765.39 × 194,260.78
  4. Step 4: Simplify right side
    460,461.05x = 134,188,619,033.27
  5. Step 5: Solve for x
    x = 134,188,619,033.27/460,461.05
  6. Step 6: Final answer
    x = 291,422.30

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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.