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Finding the Fourth Proportional to 364,313.72, 502,751.96 and 203,168.96

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Solution

The fourth proportional to 364,313.72, 502,751.96 and 203,168.96 is: 280,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,313.72 : 502,751.96 = 203,168.96 : x
  2. Step 2: Convert to fraction form
    364,313.72/502,751.96 = 203,168.96/x
  3. Step 3: Cross multiply
    364,313.72x = 502,751.96 × 203,168.96
  4. Step 4: Simplify right side
    364,313.72x = 102,143,592,851.16
  5. Step 5: Solve for x
    x = 102,143,592,851.16/364,313.72
  6. Step 6: Final answer
    x = 280,372.62

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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.