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Finding the Fourth Proportional to 496,708.34, 744,543.84 and 230,249.12

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Solution

The fourth proportional to 496,708.34, 744,543.84 and 230,249.12 is: 345,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,708.34 : 744,543.84 = 230,249.12 : x
  2. Step 2: Convert to fraction form
    496,708.34/744,543.84 = 230,249.12/x
  3. Step 3: Cross multiply
    496,708.34x = 744,543.84 × 230,249.12
  4. Step 4: Simplify right side
    496,708.34x = 171,430,563,961.42
  5. Step 5: Solve for x
    x = 171,430,563,961.42/496,708.34
  6. Step 6: Final answer
    x = 345,133.25

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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.