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Finding the Fourth Proportional to 497,633.68, 681,240.26 and 494,076.16

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Solution

The fourth proportional to 497,633.68, 681,240.26 and 494,076.16 is: 676,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,633.68 : 681,240.26 = 494,076.16 : x
  2. Step 2: Convert to fraction form
    497,633.68/681,240.26 = 494,076.16/x
  3. Step 3: Cross multiply
    497,633.68x = 681,240.26 × 494,076.16
  4. Step 4: Simplify right side
    497,633.68x = 336,584,571,698.20
  5. Step 5: Solve for x
    x = 336,584,571,698.20/497,633.68
  6. Step 6: Final answer
    x = 676,370.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.