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Finding the Fourth Proportional to 427,381.60, 589,601.28 and 257,519.20

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Solution

The fourth proportional to 427,381.60, 589,601.28 and 257,519.20 is: 355,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,381.60 : 589,601.28 = 257,519.20 : x
  2. Step 2: Convert to fraction form
    427,381.60/589,601.28 = 257,519.20/x
  3. Step 3: Cross multiply
    427,381.60x = 589,601.28 × 257,519.20
  4. Step 4: Simplify right side
    427,381.60x = 151,833,649,944.58
  5. Step 5: Solve for x
    x = 151,833,649,944.58/427,381.60
  6. Step 6: Final answer
    x = 355,264.83

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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.