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Finding the Fourth Proportional to 295,594.78, 407,921.16 and 168,270.26

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Solution

The fourth proportional to 295,594.78, 407,921.16 and 168,270.26 is: 232,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,594.78 : 407,921.16 = 168,270.26 : x
  2. Step 2: Convert to fraction form
    295,594.78/407,921.16 = 168,270.26/x
  3. Step 3: Cross multiply
    295,594.78x = 407,921.16 × 168,270.26
  4. Step 4: Simplify right side
    295,594.78x = 68,640,999,652.70
  5. Step 5: Solve for x
    x = 68,640,999,652.70/295,594.78
  6. Step 6: Final answer
    x = 232,213.17

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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.