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Finding the Fourth Proportional to 460,981, 691,743.66 and 194,724.28

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Solution

The fourth proportional to 460,981, 691,743.66 and 194,724.28 is: 292,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,981 : 691,743.66 = 194,724.28 : x
  2. Step 2: Convert to fraction form
    460,981/691,743.66 = 194,724.28/x
  3. Step 3: Cross multiply
    460,981x = 691,743.66 × 194,724.28
  4. Step 4: Simplify right side
    460,981x = 134,699,286,138.07
  5. Step 5: Solve for x
    x = 134,699,286,138.07/460,981
  6. Step 6: Final answer
    x = 292,201.38

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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.