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Finding the Fourth Proportional to 283,583.42, 426,156.24 and 150,563.24

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Solution

The fourth proportional to 283,583.42, 426,156.24 and 150,563.24 is: 226,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,583.42 : 426,156.24 = 150,563.24 : x
  2. Step 2: Convert to fraction form
    283,583.42/426,156.24 = 150,563.24/x
  3. Step 3: Cross multiply
    283,583.42x = 426,156.24 × 150,563.24
  4. Step 4: Simplify right side
    283,583.42x = 64,163,464,240.62
  5. Step 5: Solve for x
    x = 64,163,464,240.62/283,583.42
  6. Step 6: Final answer
    x = 226,259.58

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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.