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Finding the Fourth Proportional to 302,862, 417,958.20 and 168,734.64

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Solution

The fourth proportional to 302,862, 417,958.20 and 168,734.64 is: 232,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,862 : 417,958.20 = 168,734.64 : x
  2. Step 2: Convert to fraction form
    302,862/417,958.20 = 168,734.64/x
  3. Step 3: Cross multiply
    302,862x = 417,958.20 × 168,734.64
  4. Step 4: Simplify right side
    302,862x = 70,524,026,412.05
  5. Step 5: Solve for x
    x = 70,524,026,412.05/302,862
  6. Step 6: Final answer
    x = 232,858.62

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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.