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Finding the Fourth Proportional to 283,124.64, 424,331.37 and 169,356.36

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Solution

The fourth proportional to 283,124.64, 424,331.37 and 169,356.36 is: 253,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,124.64 : 424,331.37 = 169,356.36 : x
  2. Step 2: Convert to fraction form
    283,124.64/424,331.37 = 169,356.36/x
  3. Step 3: Cross multiply
    283,124.64x = 424,331.37 × 169,356.36
  4. Step 4: Simplify right side
    283,124.64x = 71,863,216,257.01
  5. Step 5: Solve for x
    x = 71,863,216,257.01/283,124.64
  6. Step 6: Final answer
    x = 253,821.84

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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.