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Finding the Fourth Proportional to 580,564.64, 801,178.62 and 325,916.30

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Solution

The fourth proportional to 580,564.64, 801,178.62 and 325,916.30 is: 449,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,564.64 : 801,178.62 = 325,916.30 : x
  2. Step 2: Convert to fraction form
    580,564.64/801,178.62 = 325,916.30/x
  3. Step 3: Cross multiply
    580,564.64x = 801,178.62 × 325,916.30
  4. Step 4: Simplify right side
    580,564.64x = 261,117,171,469.51
  5. Step 5: Solve for x
    x = 261,117,171,469.51/580,564.64
  6. Step 6: Final answer
    x = 449,764.17

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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.