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Finding the Fourth Proportional to 367,588.26, 507,381.81 and 214,667.70

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Solution

The fourth proportional to 367,588.26, 507,381.81 and 214,667.70 is: 296,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,588.26 : 507,381.81 = 214,667.70 : x
  2. Step 2: Convert to fraction form
    367,588.26/507,381.81 = 214,667.70/x
  3. Step 3: Cross multiply
    367,588.26x = 507,381.81 × 214,667.70
  4. Step 4: Simplify right side
    367,588.26x = 108,918,486,174.54
  5. Step 5: Solve for x
    x = 108,918,486,174.54/367,588.26
  6. Step 6: Final answer
    x = 296,305.67

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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.