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Finding the Fourth Proportional to 295,708.78, 408,077.72 and 168,384.38

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Solution

The fourth proportional to 295,708.78, 408,077.72 and 168,384.38 is: 232,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,708.78 : 408,077.72 = 168,384.38 : x
  2. Step 2: Convert to fraction form
    295,708.78/408,077.72 = 168,384.38/x
  3. Step 3: Cross multiply
    295,708.78x = 408,077.72 × 168,384.38
  4. Step 4: Simplify right side
    295,708.78x = 68,713,912,853.82
  5. Step 5: Solve for x
    x = 68,713,912,853.82/295,708.78
  6. Step 6: Final answer
    x = 232,370.21

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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.