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Finding the Fourth Proportional to 427,546.59, 589,757.27 and 282,353.72

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Solution

The fourth proportional to 427,546.59, 589,757.27 and 282,353.72 is: 389,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,546.59 : 589,757.27 = 282,353.72 : x
  2. Step 2: Convert to fraction form
    427,546.59/589,757.27 = 282,353.72/x
  3. Step 3: Cross multiply
    427,546.59x = 589,757.27 × 282,353.72
  4. Step 4: Simplify right side
    427,546.59x = 166,520,154,720.99
  5. Step 5: Solve for x
    x = 166,520,154,720.99/427,546.59
  6. Step 6: Final answer
    x = 389,478.38

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Why These Related Problems?

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