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Finding the Fourth Proportional to 598,363.07, 825,741 and 343,714.19

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Solution

The fourth proportional to 598,363.07, 825,741 and 343,714.19 is: 474,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,363.07 : 825,741 = 343,714.19 : x
  2. Step 2: Convert to fraction form
    598,363.07/825,741 = 343,714.19/x
  3. Step 3: Cross multiply
    598,363.07x = 825,741 × 343,714.19
  4. Step 4: Simplify right side
    598,363.07x = 283,818,894,836.09
  5. Step 5: Solve for x
    x = 283,818,894,836.09/598,363.07
  6. Step 6: Final answer
    x = 474,325.56

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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.