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Finding the Fourth Proportional to 496,829.86, 685,627.78 and 270,476.98

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Solution

The fourth proportional to 496,829.86, 685,627.78 and 270,476.98 is: 373,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,829.86 : 685,627.78 = 270,476.98 : x
  2. Step 2: Convert to fraction form
    496,829.86/685,627.78 = 270,476.98/x
  3. Step 3: Cross multiply
    496,829.86x = 685,627.78 × 270,476.98
  4. Step 4: Simplify right side
    496,829.86x = 185,446,531,338.50
  5. Step 5: Solve for x
    x = 185,446,531,338.50/496,829.86
  6. Step 6: Final answer
    x = 373,259.63

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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.