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Finding the Fourth Proportional to 413,632.85, 570,791.41 and 232,352.42

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Solution

The fourth proportional to 413,632.85, 570,791.41 and 232,352.42 is: 320,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632.85 : 570,791.41 = 232,352.42 : x
  2. Step 2: Convert to fraction form
    413,632.85/570,791.41 = 232,352.42/x
  3. Step 3: Cross multiply
    413,632.85x = 570,791.41 × 232,352.42
  4. Step 4: Simplify right side
    413,632.85x = 132,624,761,993.87
  5. Step 5: Solve for x
    x = 132,624,761,993.87/413,632.85
  6. Step 6: Final answer
    x = 320,634.02

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1.5x scale

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.