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Finding the Fourth Proportional to 363,748.48, 501,995.84 and 204,782.72

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Solution

The fourth proportional to 363,748.48, 501,995.84 and 204,782.72 is: 282,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,748.48 : 501,995.84 = 204,782.72 : x
  2. Step 2: Convert to fraction form
    363,748.48/501,995.84 = 204,782.72/x
  3. Step 3: Cross multiply
    363,748.48x = 501,995.84 × 204,782.72
  4. Step 4: Simplify right side
    363,748.48x = 102,800,073,543.89
  5. Step 5: Solve for x
    x = 102,800,073,543.89/363,748.48
  6. Step 6: Final answer
    x = 282,613.07

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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.