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Finding the Fourth Proportional to 422,630.06, 633,984.16 and 152,825.54

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Solution

The fourth proportional to 422,630.06, 633,984.16 and 152,825.54 is: 229,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,630.06 : 633,984.16 = 152,825.54 : x
  2. Step 2: Convert to fraction form
    422,630.06/633,984.16 = 152,825.54/x
  3. Step 3: Cross multiply
    422,630.06x = 633,984.16 × 152,825.54
  4. Step 4: Simplify right side
    422,630.06x = 96,888,968,051.46
  5. Step 5: Solve for x
    x = 96,888,968,051.46/422,630.06
  6. Step 6: Final answer
    x = 229,252.43

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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.