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Finding the Fourth Proportional to 496,386.84, 685,010.70 and 270,033.24

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Solution

The fourth proportional to 496,386.84, 685,010.70 and 270,033.24 is: 372,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,386.84 : 685,010.70 = 270,033.24 : x
  2. Step 2: Convert to fraction form
    496,386.84/685,010.70 = 270,033.24/x
  3. Step 3: Cross multiply
    496,386.84x = 685,010.70 × 270,033.24
  4. Step 4: Simplify right side
    496,386.84x = 184,975,658,755.67
  5. Step 5: Solve for x
    x = 184,975,658,755.67/496,386.84
  6. Step 6: Final answer
    x = 372,644.16

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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.