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Finding the Fourth Proportional to 496,314.88, 685,152.48 and 305,491.84

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Solution

The fourth proportional to 496,314.88, 685,152.48 and 305,491.84 is: 421,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,314.88 : 685,152.48 = 305,491.84 : x
  2. Step 2: Convert to fraction form
    496,314.88/685,152.48 = 305,491.84/x
  3. Step 3: Cross multiply
    496,314.88x = 685,152.48 × 305,491.84
  4. Step 4: Simplify right side
    496,314.88x = 209,308,491,795.76
  5. Step 5: Solve for x
    x = 209,308,491,795.76/496,314.88
  6. Step 6: Final answer
    x = 421,725.20

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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.