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Finding the Fourth Proportional to 400,570, 552,633.96 and 264,668.56

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Solution

The fourth proportional to 400,570, 552,633.96 and 264,668.56 is: 365,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,570 : 552,633.96 = 264,668.56 : x
  2. Step 2: Convert to fraction form
    400,570/552,633.96 = 264,668.56/x
  3. Step 3: Cross multiply
    400,570x = 552,633.96 × 264,668.56
  4. Step 4: Simplify right side
    400,570x = 146,264,834,400.30
  5. Step 5: Solve for x
    x = 146,264,834,400.30/400,570
  6. Step 6: Final answer
    x = 365,141.76

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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.