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Finding the Fourth Proportional to 601,891.20, 902,271.59 and 202,252.49

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Solution

The fourth proportional to 601,891.20, 902,271.59 and 202,252.49 is: 303,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,891.20 : 902,271.59 = 202,252.49 : x
  2. Step 2: Convert to fraction form
    601,891.20/902,271.59 = 202,252.49/x
  3. Step 3: Cross multiply
    601,891.20x = 902,271.59 × 202,252.49
  4. Step 4: Simplify right side
    601,891.20x = 182,486,675,733.76
  5. Step 5: Solve for x
    x = 182,486,675,733.76/601,891.20
  6. Step 6: Final answer
    x = 303,188.81

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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.