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Finding the Fourth Proportional to 409,675.92, 565,032.29 and 266,481.69

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Solution

The fourth proportional to 409,675.92, 565,032.29 and 266,481.69 is: 367,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,675.92 : 565,032.29 = 266,481.69 : x
  2. Step 2: Convert to fraction form
    409,675.92/565,032.29 = 266,481.69/x
  3. Step 3: Cross multiply
    409,675.92x = 565,032.29 × 266,481.69
  4. Step 4: Simplify right side
    409,675.92x = 150,570,758,211.36
  5. Step 5: Solve for x
    x = 150,570,758,211.36/409,675.92
  6. Step 6: Final answer
    x = 367,536.27

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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.