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Finding the Fourth Proportional to 315,855.81, 474,111.86 and 182,995.65

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Solution

The fourth proportional to 315,855.81, 474,111.86 and 182,995.65 is: 274,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,855.81 : 474,111.86 = 182,995.65 : x
  2. Step 2: Convert to fraction form
    315,855.81/474,111.86 = 182,995.65/x
  3. Step 3: Cross multiply
    315,855.81x = 474,111.86 × 182,995.65
  4. Step 4: Simplify right side
    315,855.81x = 86,760,407,078.43
  5. Step 5: Solve for x
    x = 86,760,407,078.43/315,855.81
  6. Step 6: Final answer
    x = 274,683.59

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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.