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Finding the Fourth Proportional to 460,589, 690,586.62 and 194,278.28

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Solution

The fourth proportional to 460,589, 690,586.62 and 194,278.28 is: 291,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,589 : 690,586.62 = 194,278.28 : x
  2. Step 2: Convert to fraction form
    460,589/690,586.62 = 194,278.28/x
  3. Step 3: Cross multiply
    460,589x = 690,586.62 × 194,278.28
  4. Step 4: Simplify right side
    460,589x = 134,165,980,724.61
  5. Step 5: Solve for x
    x = 134,165,980,724.61/460,589
  6. Step 6: Final answer
    x = 291,292.19

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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.