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Finding the Fourth Proportional to 386,416.64, 533,057.28 and 257,576.96

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Solution

The fourth proportional to 386,416.64, 533,057.28 and 257,576.96 is: 355,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,416.64 : 533,057.28 = 257,576.96 : x
  2. Step 2: Convert to fraction form
    386,416.64/533,057.28 = 257,576.96/x
  3. Step 3: Cross multiply
    386,416.64x = 533,057.28 × 257,576.96
  4. Step 4: Simplify right side
    386,416.64x = 137,303,273,688.27
  5. Step 5: Solve for x
    x = 137,303,273,688.27/386,416.64
  6. Step 6: Final answer
    x = 355,324.43

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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.