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Finding the Fourth Proportional to 367,914.18, 507,763.64 and 204,586.97

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Solution

The fourth proportional to 367,914.18, 507,763.64 and 204,586.97 is: 282,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,914.18 : 507,763.64 = 204,586.97 : x
  2. Step 2: Convert to fraction form
    367,914.18/507,763.64 = 204,586.97/x
  3. Step 3: Cross multiply
    367,914.18x = 507,763.64 × 204,586.97
  4. Step 4: Simplify right side
    367,914.18x = 103,881,821,405.62
  5. Step 5: Solve for x
    x = 103,881,821,405.62/367,914.18
  6. Step 6: Final answer
    x = 282,353.41

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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.