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Finding the Fourth Proportional to 469,443.76, 647,814.36 and 254,579.92

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Solution

The fourth proportional to 469,443.76, 647,814.36 and 254,579.92 is: 351,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,443.76 : 647,814.36 = 254,579.92 : x
  2. Step 2: Convert to fraction form
    469,443.76/647,814.36 = 254,579.92/x
  3. Step 3: Cross multiply
    469,443.76x = 647,814.36 × 254,579.92
  4. Step 4: Simplify right side
    469,443.76x = 164,920,527,943.65
  5. Step 5: Solve for x
    x = 164,920,527,943.65/469,443.76
  6. Step 6: Final answer
    x = 351,310.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.