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Finding the Fourth Proportional to 601,588.47, 902,349.48 and 202,188

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Solution

The fourth proportional to 601,588.47, 902,349.48 and 202,188 is: 303,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,588.47 : 902,349.48 = 202,188 : x
  2. Step 2: Convert to fraction form
    601,588.47/902,349.48 = 202,188/x
  3. Step 3: Cross multiply
    601,588.47x = 902,349.48 × 202,188
  4. Step 4: Simplify right side
    601,588.47x = 182,444,236,662.24
  5. Step 5: Solve for x
    x = 182,444,236,662.24/601,588.47
  6. Step 6: Final answer
    x = 303,270.83

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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.