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Finding the Fourth Proportional to 394,054.69, 591,165.06 and 127,794.45

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Solution

The fourth proportional to 394,054.69, 591,165.06 and 127,794.45 is: 191,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,054.69 : 591,165.06 = 127,794.45 : x
  2. Step 2: Convert to fraction form
    394,054.69/591,165.06 = 127,794.45/x
  3. Step 3: Cross multiply
    394,054.69x = 591,165.06 × 127,794.45
  4. Step 4: Simplify right side
    394,054.69x = 75,547,610,746.09
  5. Step 5: Solve for x
    x = 75,547,610,746.09/394,054.69
  6. Step 6: Final answer
    x = 191,718.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.