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Finding the Fourth Proportional to 420,884.29, 580,635.38 and 257,548.57

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Solution

The fourth proportional to 420,884.29, 580,635.38 and 257,548.57 is: 355,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,884.29 : 580,635.38 = 257,548.57 : x
  2. Step 2: Convert to fraction form
    420,884.29/580,635.38 = 257,548.57/x
  3. Step 3: Cross multiply
    420,884.29x = 580,635.38 × 257,548.57
  4. Step 4: Simplify right side
    420,884.29x = 149,541,811,810.41
  5. Step 5: Solve for x
    x = 149,541,811,810.41/420,884.29
  6. Step 6: Final answer
    x = 355,303.86

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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.