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Finding the Fourth Proportional to 299,374.16, 413,125.97 and 178,453.17

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Solution

The fourth proportional to 299,374.16, 413,125.97 and 178,453.17 is: 246,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,374.16 : 413,125.97 = 178,453.17 : x
  2. Step 2: Convert to fraction form
    299,374.16/413,125.97 = 178,453.17/x
  3. Step 3: Cross multiply
    299,374.16x = 413,125.97 × 178,453.17
  4. Step 4: Simplify right side
    299,374.16x = 73,723,638,063.56
  5. Step 5: Solve for x
    x = 73,723,638,063.56/299,374.16
  6. Step 6: Final answer
    x = 246,259.19

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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.