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Finding the Fourth Proportional to 690,396.83, 952,256.80 and 460,838.38

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Solution

The fourth proportional to 690,396.83, 952,256.80 and 460,838.38 is: 635,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,396.83 : 952,256.80 = 460,838.38 : x
  2. Step 2: Convert to fraction form
    690,396.83/952,256.80 = 460,838.38/x
  3. Step 3: Cross multiply
    690,396.83x = 952,256.80 × 460,838.38
  4. Step 4: Simplify right side
    690,396.83x = 438,836,481,055.98
  5. Step 5: Solve for x
    x = 438,836,481,055.98/690,396.83
  6. Step 6: Final answer
    x = 635,629.34

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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.