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Finding the Fourth Proportional to 352,947.47, 529,486.81 and 116,299.49

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Solution

The fourth proportional to 352,947.47, 529,486.81 and 116,299.49 is: 174,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,947.47 : 529,486.81 = 116,299.49 : x
  2. Step 2: Convert to fraction form
    352,947.47/529,486.81 = 116,299.49/x
  3. Step 3: Cross multiply
    352,947.47x = 529,486.81 × 116,299.49
  4. Step 4: Simplify right side
    352,947.47x = 61,579,043,026.54
  5. Step 5: Solve for x
    x = 61,579,043,026.54/352,947.47
  6. Step 6: Final answer
    x = 174,470.85

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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.