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Finding the Fourth Proportional to 352,694.72, 529,039.25 and 209,592.29

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Solution

The fourth proportional to 352,694.72, 529,039.25 and 209,592.29 is: 314,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,694.72 : 529,039.25 = 209,592.29 : x
  2. Step 2: Convert to fraction form
    352,694.72/529,039.25 = 209,592.29/x
  3. Step 3: Cross multiply
    352,694.72x = 529,039.25 × 209,592.29
  4. Step 4: Simplify right side
    352,694.72x = 110,882,544,214.23
  5. Step 5: Solve for x
    x = 110,882,544,214.23/352,694.72
  6. Step 6: Final answer
    x = 314,386.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.