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Finding the Fourth Proportional to 361,642.32, 541,938.60 and 203,533.16

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Solution

The fourth proportional to 361,642.32, 541,938.60 and 203,533.16 is: 305,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,642.32 : 541,938.60 = 203,533.16 : x
  2. Step 2: Convert to fraction form
    361,642.32/541,938.60 = 203,533.16/x
  3. Step 3: Cross multiply
    361,642.32x = 541,938.60 × 203,533.16
  4. Step 4: Simplify right side
    361,642.32x = 110,302,473,074.28
  5. Step 5: Solve for x
    x = 110,302,473,074.28/361,642.32
  6. Step 6: Final answer
    x = 305,004.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.