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Finding the Fourth Proportional to 601,586.78, 902,346.95 and 202,186.31

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Solution

The fourth proportional to 601,586.78, 902,346.95 and 202,186.31 is: 303,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,586.78 : 902,346.95 = 202,186.31 : x
  2. Step 2: Convert to fraction form
    601,586.78/902,346.95 = 202,186.31/x
  3. Step 3: Cross multiply
    601,586.78x = 902,346.95 × 202,186.31
  4. Step 4: Simplify right side
    601,586.78x = 182,442,196,153.99
  5. Step 5: Solve for x
    x = 182,442,196,153.99/601,586.78
  6. Step 6: Final answer
    x = 303,268.30

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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.