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Finding the Fourth Proportional to 496,846, 685,649.10 and 270,493.12

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Solution

The fourth proportional to 496,846, 685,649.10 and 270,493.12 is: 373,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,846 : 685,649.10 = 270,493.12 : x
  2. Step 2: Convert to fraction form
    496,846/685,649.10 = 270,493.12/x
  3. Step 3: Cross multiply
    496,846x = 685,649.10 × 270,493.12
  4. Step 4: Simplify right side
    496,846x = 185,463,364,284.19
  5. Step 5: Solve for x
    x = 185,463,364,284.19/496,846
  6. Step 6: Final answer
    x = 373,281.39

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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.