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Finding the Fourth Proportional to 512,180.92, 706,805.58 and 297,340.92

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Solution

The fourth proportional to 512,180.92, 706,805.58 and 297,340.92 is: 410,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,180.92 : 706,805.58 = 297,340.92 : x
  2. Step 2: Convert to fraction form
    512,180.92/706,805.58 = 297,340.92/x
  3. Step 3: Cross multiply
    512,180.92x = 706,805.58 × 297,340.92
  4. Step 4: Simplify right side
    512,180.92x = 210,162,221,418.33
  5. Step 5: Solve for x
    x = 210,162,221,418.33/512,180.92
  6. Step 6: Final answer
    x = 410,328.10

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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.