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Finding the Fourth Proportional to 295,628.54, 407,967.32 and 159,662.48

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Solution

The fourth proportional to 295,628.54, 407,967.32 and 159,662.48 is: 220,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,628.54 : 407,967.32 = 159,662.48 : x
  2. Step 2: Convert to fraction form
    295,628.54/407,967.32 = 159,662.48/x
  3. Step 3: Cross multiply
    295,628.54x = 407,967.32 × 159,662.48
  4. Step 4: Simplify right side
    295,628.54x = 65,137,074,070.15
  5. Step 5: Solve for x
    x = 65,137,074,070.15/295,628.54
  6. Step 6: Final answer
    x = 220,334.19

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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.