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Finding the Fourth Proportional to 271,488.24, 374,644.56 and 164,039.28

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Solution

The fourth proportional to 271,488.24, 374,644.56 and 164,039.28 is: 226,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,488.24 : 374,644.56 = 164,039.28 : x
  2. Step 2: Convert to fraction form
    271,488.24/374,644.56 = 164,039.28/x
  3. Step 3: Cross multiply
    271,488.24x = 374,644.56 × 164,039.28
  4. Step 4: Simplify right side
    271,488.24x = 61,456,423,878.32
  5. Step 5: Solve for x
    x = 61,456,423,878.32/271,488.24
  6. Step 6: Final answer
    x = 226,368.64

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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.