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Finding the Fourth Proportional to 461,954.25, 637,478.91 and 289,964.63

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Solution

The fourth proportional to 461,954.25, 637,478.91 and 289,964.63 is: 400,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,954.25 : 637,478.91 = 289,964.63 : x
  2. Step 2: Convert to fraction form
    461,954.25/637,478.91 = 289,964.63/x
  3. Step 3: Cross multiply
    461,954.25x = 637,478.91 × 289,964.63
  4. Step 4: Simplify right side
    461,954.25x = 184,846,333,083.56
  5. Step 5: Solve for x
    x = 184,846,333,083.56/461,954.25
  6. Step 6: Final answer
    x = 400,139.91

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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.