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Finding the Fourth Proportional to 569,719, 785,974.66 and 327,943.72

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Solution

The fourth proportional to 569,719, 785,974.66 and 327,943.72 is: 452,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,719 : 785,974.66 = 327,943.72 : x
  2. Step 2: Convert to fraction form
    569,719/785,974.66 = 327,943.72/x
  3. Step 3: Cross multiply
    569,719x = 785,974.66 × 327,943.72
  4. Step 4: Simplify right side
    569,719x = 257,755,453,826.14
  5. Step 5: Solve for x
    x = 257,755,453,826.14/569,719
  6. Step 6: Final answer
    x = 452,425.59

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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.