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Finding the Fourth Proportional to 305,973.24, 422,271.59 and 185,144.32

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Solution

The fourth proportional to 305,973.24, 422,271.59 and 185,144.32 is: 255,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,973.24 : 422,271.59 = 185,144.32 : x
  2. Step 2: Convert to fraction form
    305,973.24/422,271.59 = 185,144.32/x
  3. Step 3: Cross multiply
    305,973.24x = 422,271.59 × 185,144.32
  4. Step 4: Simplify right side
    305,973.24x = 78,181,186,385.87
  5. Step 5: Solve for x
    x = 78,181,186,385.87/305,973.24
  6. Step 6: Final answer
    x = 255,516.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.