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Finding the Fourth Proportional to 564,693.28, 779,184.78 and 322,936.96

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Solution

The fourth proportional to 564,693.28, 779,184.78 and 322,936.96 is: 445,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,693.28 : 779,184.78 = 322,936.96 : x
  2. Step 2: Convert to fraction form
    564,693.28/779,184.78 = 322,936.96/x
  3. Step 3: Cross multiply
    564,693.28x = 779,184.78 × 322,936.96
  4. Step 4: Simplify right side
    564,693.28x = 251,627,564,131.47
  5. Step 5: Solve for x
    x = 251,627,564,131.47/564,693.28
  6. Step 6: Final answer
    x = 445,600.42

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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.