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Finding the Fourth Proportional to 400,665.83, 601,111.37 and 160,948.04

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Solution

The fourth proportional to 400,665.83, 601,111.37 and 160,948.04 is: 241,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,665.83 : 601,111.37 = 160,948.04 : x
  2. Step 2: Convert to fraction form
    400,665.83/601,111.37 = 160,948.04/x
  3. Step 3: Cross multiply
    400,665.83x = 601,111.37 × 160,948.04
  4. Step 4: Simplify right side
    400,665.83x = 96,747,694,220.03
  5. Step 5: Solve for x
    x = 96,747,694,220.03/400,665.83
  6. Step 6: Final answer
    x = 241,467.30

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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.