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Finding the Fourth Proportional to 295,165.28, 407,328.16 and 167,848.68

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Solution

The fourth proportional to 295,165.28, 407,328.16 and 167,848.68 is: 231,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,165.28 : 407,328.16 = 167,848.68 : x
  2. Step 2: Convert to fraction form
    295,165.28/407,328.16 = 167,848.68/x
  3. Step 3: Cross multiply
    295,165.28x = 407,328.16 × 167,848.68
  4. Step 4: Simplify right side
    295,165.28x = 68,369,493,982.83
  5. Step 5: Solve for x
    x = 68,369,493,982.83/295,165.28
  6. Step 6: Final answer
    x = 231,631.22

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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.