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Finding the Fourth Proportional to 294,892.57, 406,109.50 and 265,571.28

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Solution

The fourth proportional to 294,892.57, 406,109.50 and 265,571.28 is: 365,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,892.57 : 406,109.50 = 265,571.28 : x
  2. Step 2: Convert to fraction form
    294,892.57/406,109.50 = 265,571.28/x
  3. Step 3: Cross multiply
    294,892.57x = 406,109.50 × 265,571.28
  4. Step 4: Simplify right side
    294,892.57x = 107,851,020,213.42
  5. Step 5: Solve for x
    x = 107,851,020,213.42/294,892.57
  6. Step 6: Final answer
    x = 365,729.86

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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.