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Finding the Fourth Proportional to 598,403.52, 825,714.99 and 343,754.64

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Solution

The fourth proportional to 598,403.52, 825,714.99 and 343,754.64 is: 474,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,403.52 : 825,714.99 = 343,754.64 : x
  2. Step 2: Convert to fraction form
    598,403.52/825,714.99 = 343,754.64/x
  3. Step 3: Cross multiply
    598,403.52x = 825,714.99 × 343,754.64
  4. Step 4: Simplify right side
    598,403.52x = 283,843,359,130.05
  5. Step 5: Solve for x
    x = 283,843,359,130.05/598,403.52
  6. Step 6: Final answer
    x = 474,334.37

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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.