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Finding the Fourth Proportional to 319,832, 441,407.04 and 185,696

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Solution

The fourth proportional to 319,832, 441,407.04 and 185,696 is: 256,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,832 : 441,407.04 = 185,696 : x
  2. Step 2: Convert to fraction form
    319,832/441,407.04 = 185,696/x
  3. Step 3: Cross multiply
    319,832x = 441,407.04 × 185,696
  4. Step 4: Simplify right side
    319,832x = 81,967,521,699.84
  5. Step 5: Solve for x
    x = 81,967,521,699.84/319,832
  6. Step 6: Final answer
    x = 256,283.05

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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.