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Finding the Fourth Proportional to 283,811.28, 425,235.16 and 171,254.98

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Solution

The fourth proportional to 283,811.28, 425,235.16 and 171,254.98 is: 256,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,811.28 : 425,235.16 = 171,254.98 : x
  2. Step 2: Convert to fraction form
    283,811.28/425,235.16 = 171,254.98/x
  3. Step 3: Cross multiply
    283,811.28x = 425,235.16 × 171,254.98
  4. Step 4: Simplify right side
    283,811.28x = 72,823,638,821.10
  5. Step 5: Solve for x
    x = 72,823,638,821.10/283,811.28
  6. Step 6: Final answer
    x = 256,591.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.