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Finding the Fourth Proportional to 512,363.08, 707,019.06 and 297,434.44

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Solution

The fourth proportional to 512,363.08, 707,019.06 and 297,434.44 is: 410,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,363.08 : 707,019.06 = 297,434.44 : x
  2. Step 2: Convert to fraction form
    512,363.08/707,019.06 = 297,434.44/x
  3. Step 3: Cross multiply
    512,363.08x = 707,019.06 × 297,434.44
  4. Step 4: Simplify right side
    512,363.08x = 210,291,818,180.43
  5. Step 5: Solve for x
    x = 210,291,818,180.43/512,363.08
  6. Step 6: Final answer
    x = 410,435.15

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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.