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Finding the Fourth Proportional to 768,286.10, 1,060,207.04 and 424,114.64

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Solution

The fourth proportional to 768,286.10, 1,060,207.04 and 424,114.64 is: 585,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,286.10 : 1,060,207.04 = 424,114.64 : x
  2. Step 2: Convert to fraction form
    768,286.10/1,060,207.04 = 424,114.64/x
  3. Step 3: Cross multiply
    768,286.10x = 1,060,207.04 × 424,114.64
  4. Step 4: Simplify right side
    768,286.10x = 449,649,327,625.01
  5. Step 5: Solve for x
    x = 449,649,327,625.01/768,286.10
  6. Step 6: Final answer
    x = 585,262.87

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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.