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Finding the Fourth Proportional to 428,186.64, 589,578.48 and 380,357.04

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Solution

The fourth proportional to 428,186.64, 589,578.48 and 380,357.04 is: 523,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,186.64 : 589,578.48 = 380,357.04 : x
  2. Step 2: Convert to fraction form
    428,186.64/589,578.48 = 380,357.04/x
  3. Step 3: Cross multiply
    428,186.64x = 589,578.48 × 380,357.04
  4. Step 4: Simplify right side
    428,186.64x = 224,250,325,500.50
  5. Step 5: Solve for x
    x = 224,250,325,500.50/428,186.64
  6. Step 6: Final answer
    x = 523,720.98

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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.