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Finding the Fourth Proportional to 299,917.94, 413,612.43 and 234,515.25

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Solution

The fourth proportional to 299,917.94, 413,612.43 and 234,515.25 is: 323,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917.94 : 413,612.43 = 234,515.25 : x
  2. Step 2: Convert to fraction form
    299,917.94/413,612.43 = 234,515.25/x
  3. Step 3: Cross multiply
    299,917.94x = 413,612.43 × 234,515.25
  4. Step 4: Simplify right side
    299,917.94x = 96,998,421,545.13
  5. Step 5: Solve for x
    x = 96,998,421,545.13/299,917.94
  6. Step 6: Final answer
    x = 323,416.54

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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.