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Finding the Fourth Proportional to 601,206.37, 901,853.30 and 201,843.77

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Solution

The fourth proportional to 601,206.37, 901,853.30 and 201,843.77 is: 302,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,206.37 : 901,853.30 = 201,843.77 : x
  2. Step 2: Convert to fraction form
    601,206.37/901,853.30 = 201,843.77/x
  3. Step 3: Cross multiply
    601,206.37x = 901,853.30 × 201,843.77
  4. Step 4: Simplify right side
    601,206.37x = 182,033,470,058.94
  5. Step 5: Solve for x
    x = 182,033,470,058.94/601,206.37
  6. Step 6: Final answer
    x = 302,780.34

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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.