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Finding the Fourth Proportional to 352,773.72, 486,898.59 and 209,506.08

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Solution

The fourth proportional to 352,773.72, 486,898.59 and 209,506.08 is: 289,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,773.72 : 486,898.59 = 209,506.08 : x
  2. Step 2: Convert to fraction form
    352,773.72/486,898.59 = 209,506.08/x
  3. Step 3: Cross multiply
    352,773.72x = 486,898.59 × 209,506.08
  4. Step 4: Simplify right side
    352,773.72x = 102,008,214,948.43
  5. Step 5: Solve for x
    x = 102,008,214,948.43/352,773.72
  6. Step 6: Final answer
    x = 289,160.47

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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.