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Finding the Fourth Proportional to 601,164.72, 901,885.32 and 180,448.56

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Solution

The fourth proportional to 601,164.72, 901,885.32 and 180,448.56 is: 270,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,164.72 : 901,885.32 = 180,448.56 : x
  2. Step 2: Convert to fraction form
    601,164.72/901,885.32 = 180,448.56/x
  3. Step 3: Cross multiply
    601,164.72x = 901,885.32 × 180,448.56
  4. Step 4: Simplify right side
    601,164.72x = 162,743,907,279.14
  5. Step 5: Solve for x
    x = 162,743,907,279.14/601,164.72
  6. Step 6: Final answer
    x = 270,714.33

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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.