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Finding the Fourth Proportional to 601,591.48, 902,353.98 and 202,191

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Solution

The fourth proportional to 601,591.48, 902,353.98 and 202,191 is: 303,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,591.48 : 902,353.98 = 202,191 : x
  2. Step 2: Convert to fraction form
    601,591.48/902,353.98 = 202,191/x
  3. Step 3: Cross multiply
    601,591.48x = 902,353.98 × 202,191
  4. Step 4: Simplify right side
    601,591.48x = 182,447,853,570.18
  5. Step 5: Solve for x
    x = 182,447,853,570.18/601,591.48
  6. Step 6: Final answer
    x = 303,275.33

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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.