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Finding the Fourth Proportional to 360,308.72, 497,256.72 and 209,396

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Solution

The fourth proportional to 360,308.72, 497,256.72 and 209,396 is: 288,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,308.72 : 497,256.72 = 209,396 : x
  2. Step 2: Convert to fraction form
    360,308.72/497,256.72 = 209,396/x
  3. Step 3: Cross multiply
    360,308.72x = 497,256.72 × 209,396
  4. Step 4: Simplify right side
    360,308.72x = 104,123,568,141.12
  5. Step 5: Solve for x
    x = 104,123,568,141.12/360,308.72
  6. Step 6: Final answer
    x = 288,984.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.