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Finding the Fourth Proportional to 468,847.46, 647,009.80 and 253,988.38

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Solution

The fourth proportional to 468,847.46, 647,009.80 and 253,988.38 is: 350,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,847.46 : 647,009.80 = 253,988.38 : x
  2. Step 2: Convert to fraction form
    468,847.46/647,009.80 = 253,988.38/x
  3. Step 3: Cross multiply
    468,847.46x = 647,009.80 × 253,988.38
  4. Step 4: Simplify right side
    468,847.46x = 164,332,970,946.12
  5. Step 5: Solve for x
    x = 164,332,970,946.12/468,847.46
  6. Step 6: Final answer
    x = 350,504.13

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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.