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Finding the Fourth Proportional to 295,708.82, 408,077.76 and 168,384.41

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Solution

The fourth proportional to 295,708.82, 408,077.76 and 168,384.41 is: 232,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,708.82 : 408,077.76 = 168,384.41 : x
  2. Step 2: Convert to fraction form
    295,708.82/408,077.76 = 168,384.41/x
  3. Step 3: Cross multiply
    295,708.82x = 408,077.76 × 168,384.41
  4. Step 4: Simplify right side
    295,708.82x = 68,713,932,973.07
  5. Step 5: Solve for x
    x = 68,713,932,973.07/295,708.82
  6. Step 6: Final answer
    x = 232,370.26

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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.