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Finding the Fourth Proportional to 362,996.24, 500,861.04 and 212,064.08

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Solution

The fourth proportional to 362,996.24, 500,861.04 and 212,064.08 is: 292,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,996.24 : 500,861.04 = 212,064.08 : x
  2. Step 2: Convert to fraction form
    362,996.24/500,861.04 = 212,064.08/x
  3. Step 3: Cross multiply
    362,996.24x = 500,861.04 × 212,064.08
  4. Step 4: Simplify right side
    362,996.24x = 106,214,635,655.44
  5. Step 5: Solve for x
    x = 106,214,635,655.44/362,996.24
  6. Step 6: Final answer
    x = 292,605.33

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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.