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Finding the Fourth Proportional to 307,488, 424,333.44 and 166,176

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Solution

The fourth proportional to 307,488, 424,333.44 and 166,176 is: 229,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,488 : 424,333.44 = 166,176 : x
  2. Step 2: Convert to fraction form
    307,488/424,333.44 = 166,176/x
  3. Step 3: Cross multiply
    307,488x = 424,333.44 × 166,176
  4. Step 4: Simplify right side
    307,488x = 70,514,033,725.44
  5. Step 5: Solve for x
    x = 70,514,033,725.44/307,488
  6. Step 6: Final answer
    x = 229,322.88

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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.