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Finding the Fourth Proportional to 382,014.76, 572,478.84 and 281,383.60

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Solution

The fourth proportional to 382,014.76, 572,478.84 and 281,383.60 is: 421,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,014.76 : 572,478.84 = 281,383.60 : x
  2. Step 2: Convert to fraction form
    382,014.76/572,478.84 = 281,383.60/x
  3. Step 3: Cross multiply
    382,014.76x = 572,478.84 × 281,383.60
  4. Step 4: Simplify right side
    382,014.76x = 161,086,156,923.02
  5. Step 5: Solve for x
    x = 161,086,156,923.02/382,014.76
  6. Step 6: Final answer
    x = 421,675.22

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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.