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Finding the Fourth Proportional to 460,213.80, 635,172.48 and 296,824.38

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Solution

The fourth proportional to 460,213.80, 635,172.48 and 296,824.38 is: 409,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,213.80 : 635,172.48 = 296,824.38 : x
  2. Step 2: Convert to fraction form
    460,213.80/635,172.48 = 296,824.38/x
  3. Step 3: Cross multiply
    460,213.80x = 635,172.48 × 296,824.38
  4. Step 4: Simplify right side
    460,213.80x = 188,534,677,569.06
  5. Step 5: Solve for x
    x = 188,534,677,569.06/460,213.80
  6. Step 6: Final answer
    x = 409,667.59

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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.