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Finding the Fourth Proportional to 352,813.83, 486,924.81 and 209,574.44

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Solution

The fourth proportional to 352,813.83, 486,924.81 and 209,574.44 is: 289,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,813.83 : 486,924.81 = 209,574.44 : x
  2. Step 2: Convert to fraction form
    352,813.83/486,924.81 = 209,574.44/x
  3. Step 3: Cross multiply
    352,813.83x = 486,924.81 × 209,574.44
  4. Step 4: Simplify right side
    352,813.83x = 102,046,994,377.86
  5. Step 5: Solve for x
    x = 102,046,994,377.86/352,813.83
  6. Step 6: Final answer
    x = 289,237.51

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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.