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Finding the Fourth Proportional to 536,960.33, 741,008.01 and 295,258.49

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Solution

The fourth proportional to 536,960.33, 741,008.01 and 295,258.49 is: 407,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,960.33 : 741,008.01 = 295,258.49 : x
  2. Step 2: Convert to fraction form
    536,960.33/741,008.01 = 295,258.49/x
  3. Step 3: Cross multiply
    536,960.33x = 741,008.01 × 295,258.49
  4. Step 4: Simplify right side
    536,960.33x = 218,788,906,110.51
  5. Step 5: Solve for x
    x = 218,788,906,110.51/536,960.33
  6. Step 6: Final answer
    x = 407,458.23

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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.