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Finding the Fourth Proportional to 513,726.44, 709,085.07 and 298,908.09

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Solution

The fourth proportional to 513,726.44, 709,085.07 and 298,908.09 is: 412,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,726.44 : 709,085.07 = 298,908.09 : x
  2. Step 2: Convert to fraction form
    513,726.44/709,085.07 = 298,908.09/x
  3. Step 3: Cross multiply
    513,726.44x = 709,085.07 × 298,908.09
  4. Step 4: Simplify right side
    513,726.44x = 211,951,263,921.22
  5. Step 5: Solve for x
    x = 211,951,263,921.22/513,726.44
  6. Step 6: Final answer
    x = 412,576.13

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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.