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Finding the Fourth Proportional to 283,946.70, 425,466.45 and 150,653.10

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Solution

The fourth proportional to 283,946.70, 425,466.45 and 150,653.10 is: 225,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,946.70 : 425,466.45 = 150,653.10 : x
  2. Step 2: Convert to fraction form
    283,946.70/425,466.45 = 150,653.10/x
  3. Step 3: Cross multiply
    283,946.70x = 425,466.45 × 150,653.10
  4. Step 4: Simplify right side
    283,946.70x = 64,097,839,638.50
  5. Step 5: Solve for x
    x = 64,097,839,638.50/283,946.70
  6. Step 6: Final answer
    x = 225,738.98

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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.