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Finding the Fourth Proportional to 290,618.40, 436,273.20 and 164,359.20

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Solution

The fourth proportional to 290,618.40, 436,273.20 and 164,359.20 is: 246,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,618.40 : 436,273.20 = 164,359.20 : x
  2. Step 2: Convert to fraction form
    290,618.40/436,273.20 = 164,359.20/x
  3. Step 3: Cross multiply
    290,618.40x = 436,273.20 × 164,359.20
  4. Step 4: Simplify right side
    290,618.40x = 71,705,514,133.44
  5. Step 5: Solve for x
    x = 71,705,514,133.44/290,618.40
  6. Step 6: Final answer
    x = 246,734.25

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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.