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Finding the Fourth Proportional to 460,958.52, 691,430.92 and 281,096.80

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Solution

The fourth proportional to 460,958.52, 691,430.92 and 281,096.80 is: 421,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,958.52 : 691,430.92 = 281,096.80 : x
  2. Step 2: Convert to fraction form
    460,958.52/691,430.92 = 281,096.80/x
  3. Step 3: Cross multiply
    460,958.52x = 691,430.92 × 281,096.80
  4. Step 4: Simplify right side
    460,958.52x = 194,359,019,033.06
  5. Step 5: Solve for x
    x = 194,359,019,033.06/460,958.52
  6. Step 6: Final answer
    x = 421,641.02

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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.