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Finding the Fourth Proportional to 319,812.50, 441,380.13 and 185,676.50

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Solution

The fourth proportional to 319,812.50, 441,380.13 and 185,676.50 is: 256,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,812.50 : 441,380.13 = 185,676.50 : x
  2. Step 2: Convert to fraction form
    319,812.50/441,380.13 = 185,676.50/x
  3. Step 3: Cross multiply
    319,812.50x = 441,380.13 × 185,676.50
  4. Step 4: Simplify right side
    319,812.50x = 81,953,917,707.95
  5. Step 5: Solve for x
    x = 81,953,917,707.95/319,812.50
  6. Step 6: Final answer
    x = 256,256.14

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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.