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Finding the Fourth Proportional to 554,212.97, 764,813.48 and 299,564.16

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Solution

The fourth proportional to 554,212.97, 764,813.48 and 299,564.16 is: 413,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,212.97 : 764,813.48 = 299,564.16 : x
  2. Step 2: Convert to fraction form
    554,212.97/764,813.48 = 299,564.16/x
  3. Step 3: Cross multiply
    554,212.97x = 764,813.48 × 299,564.16
  4. Step 4: Simplify right side
    554,212.97x = 229,110,706,553.56
  5. Step 5: Solve for x
    x = 229,110,706,553.56/554,212.97
  6. Step 6: Final answer
    x = 413,398.31

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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.