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Finding the Fourth Proportional to 302,744, 417,799.68 and 168,608

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Solution

The fourth proportional to 302,744, 417,799.68 and 168,608 is: 232,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,744 : 417,799.68 = 168,608 : x
  2. Step 2: Convert to fraction form
    302,744/417,799.68 = 168,608/x
  3. Step 3: Cross multiply
    302,744x = 417,799.68 × 168,608
  4. Step 4: Simplify right side
    302,744x = 70,444,368,445.44
  5. Step 5: Solve for x
    x = 70,444,368,445.44/302,744
  6. Step 6: Final answer
    x = 232,686.26

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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.