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Finding the Fourth Proportional to 413,654.48, 620,447.16 and 164,269.52

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Solution

The fourth proportional to 413,654.48, 620,447.16 and 164,269.52 is: 246,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,654.48 : 620,447.16 = 164,269.52 : x
  2. Step 2: Convert to fraction form
    413,654.48/620,447.16 = 164,269.52/x
  3. Step 3: Cross multiply
    413,654.48x = 620,447.16 × 164,269.52
  4. Step 4: Simplify right side
    413,654.48x = 101,920,557,158.56
  5. Step 5: Solve for x
    x = 101,920,557,158.56/413,654.48
  6. Step 6: Final answer
    x = 246,390.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.