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Finding the Fourth Proportional to 427,306.28, 589,756.66 and 257,540.60

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Solution

The fourth proportional to 427,306.28, 589,756.66 and 257,540.60 is: 355,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,306.28 : 589,756.66 = 257,540.60 : x
  2. Step 2: Convert to fraction form
    427,306.28/589,756.66 = 257,540.60/x
  3. Step 3: Cross multiply
    427,306.28x = 589,756.66 × 257,540.60
  4. Step 4: Simplify right side
    427,306.28x = 151,886,284,070.40
  5. Step 5: Solve for x
    x = 151,886,284,070.40/427,306.28
  6. Step 6: Final answer
    x = 355,450.62

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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.