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Finding the Fourth Proportional to 469,838.40, 704,133.60 and 256,057.44

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Solution

The fourth proportional to 469,838.40, 704,133.60 and 256,057.44 is: 383,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,838.40 : 704,133.60 = 256,057.44 : x
  2. Step 2: Convert to fraction form
    469,838.40/704,133.60 = 256,057.44/x
  3. Step 3: Cross multiply
    469,838.40x = 704,133.60 × 256,057.44
  4. Step 4: Simplify right side
    469,838.40x = 180,298,647,033.98
  5. Step 5: Solve for x
    x = 180,298,647,033.98/469,838.40
  6. Step 6: Final answer
    x = 383,746.09

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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.