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Finding the Fourth Proportional to 283,427.29, 424,566.84 and 131,410.28

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Solution

The fourth proportional to 283,427.29, 424,566.84 and 131,410.28 is: 196,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,427.29 : 424,566.84 = 131,410.28 : x
  2. Step 2: Convert to fraction form
    283,427.29/424,566.84 = 131,410.28/x
  3. Step 3: Cross multiply
    283,427.29x = 424,566.84 × 131,410.28
  4. Step 4: Simplify right side
    283,427.29x = 55,792,448,384.53
  5. Step 5: Solve for x
    x = 55,792,448,384.53/283,427.29
  6. Step 6: Final answer
    x = 196,849.25

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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.