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Finding the Fourth Proportional to 404,032, 606,135.48 and 154,714

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Solution

The fourth proportional to 404,032, 606,135.48 and 154,714 is: 232,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,032 : 606,135.48 = 154,714 : x
  2. Step 2: Convert to fraction form
    404,032/606,135.48 = 154,714/x
  3. Step 3: Cross multiply
    404,032x = 606,135.48 × 154,714
  4. Step 4: Simplify right side
    404,032x = 93,777,644,652.72
  5. Step 5: Solve for x
    x = 93,777,644,652.72/404,032
  6. Step 6: Final answer
    x = 232,104.50

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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.