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Finding the Fourth Proportional to 966,262.10, 1,449,469.22 and 256,290.21

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Solution

The fourth proportional to 966,262.10, 1,449,469.22 and 256,290.21 is: 384,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,262.10 : 1,449,469.22 = 256,290.21 : x
  2. Step 2: Convert to fraction form
    966,262.10/1,449,469.22 = 256,290.21/x
  3. Step 3: Cross multiply
    966,262.10x = 1,449,469.22 × 256,290.21
  4. Step 4: Simplify right side
    966,262.10x = 371,484,769,500.89
  5. Step 5: Solve for x
    x = 371,484,769,500.89/966,262.10
  6. Step 6: Final answer
    x = 384,455.49

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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.