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Finding the Fourth Proportional to 599,364, 827,146.08 and 344,714.88

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Solution

The fourth proportional to 599,364, 827,146.08 and 344,714.88 is: 475,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,364 : 827,146.08 = 344,714.88 : x
  2. Step 2: Convert to fraction form
    599,364/827,146.08 = 344,714.88/x
  3. Step 3: Cross multiply
    599,364x = 827,146.08 × 344,714.88
  4. Step 4: Simplify right side
    599,364x = 285,129,561,709.67
  5. Step 5: Solve for x
    x = 285,129,561,709.67/599,364
  6. Step 6: Final answer
    x = 475,720.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.