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Finding the Fourth Proportional to 319,978.74, 441,552.36 and 191,062.61

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Solution

The fourth proportional to 319,978.74, 441,552.36 and 191,062.61 is: 263,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,978.74 : 441,552.36 = 191,062.61 : x
  2. Step 2: Convert to fraction form
    319,978.74/441,552.36 = 191,062.61/x
  3. Step 3: Cross multiply
    319,978.74x = 441,552.36 × 191,062.61
  4. Step 4: Simplify right side
    319,978.74x = 84,364,144,145.50
  5. Step 5: Solve for x
    x = 84,364,144,145.50/319,978.74
  6. Step 6: Final answer
    x = 263,655.47

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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.