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Finding the Fourth Proportional to 413,361.46, 570,449.28 and 232,087.51

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Solution

The fourth proportional to 413,361.46, 570,449.28 and 232,087.51 is: 320,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,361.46 : 570,449.28 = 232,087.51 : x
  2. Step 2: Convert to fraction form
    413,361.46/570,449.28 = 232,087.51/x
  3. Step 3: Cross multiply
    413,361.46x = 570,449.28 × 232,087.51
  4. Step 4: Simplify right side
    413,361.46x = 132,394,152,976.49
  5. Step 5: Solve for x
    x = 132,394,152,976.49/413,361.46
  6. Step 6: Final answer
    x = 320,286.64

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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.