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Finding the Fourth Proportional to 427,396.82, 589,770.87 and 236,362.66

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Solution

The fourth proportional to 427,396.82, 589,770.87 and 236,362.66 is: 326,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,396.82 : 589,770.87 = 236,362.66 : x
  2. Step 2: Convert to fraction form
    427,396.82/589,770.87 = 236,362.66/x
  3. Step 3: Cross multiply
    427,396.82x = 589,770.87 × 236,362.66
  4. Step 4: Simplify right side
    427,396.82x = 139,399,811,623.71
  5. Step 5: Solve for x
    x = 139,399,811,623.71/427,396.82
  6. Step 6: Final answer
    x = 326,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.