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Finding the Fourth Proportional to 292,456.44, 438,684.66 and 105,467.94

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Solution

The fourth proportional to 292,456.44, 438,684.66 and 105,467.94 is: 158,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,456.44 : 438,684.66 = 105,467.94 : x
  2. Step 2: Convert to fraction form
    292,456.44/438,684.66 = 105,467.94/x
  3. Step 3: Cross multiply
    292,456.44x = 438,684.66 × 105,467.94
  4. Step 4: Simplify right side
    292,456.44x = 46,267,167,399.80
  5. Step 5: Solve for x
    x = 46,267,167,399.80/292,456.44
  6. Step 6: Final answer
    x = 158,201.91

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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.