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Finding the Fourth Proportional to 524,079.85, 723,255.87 and 294,709.36

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Solution

The fourth proportional to 524,079.85, 723,255.87 and 294,709.36 is: 406,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,079.85 : 723,255.87 = 294,709.36 : x
  2. Step 2: Convert to fraction form
    524,079.85/723,255.87 = 294,709.36/x
  3. Step 3: Cross multiply
    524,079.85x = 723,255.87 × 294,709.36
  4. Step 4: Simplify right side
    524,079.85x = 213,150,274,563.94
  5. Step 5: Solve for x
    x = 213,150,274,563.94/524,079.85
  6. Step 6: Final answer
    x = 406,713.36

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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.