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Finding the Fourth Proportional to 688,181, 949,689.78 and 386,375

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Solution

The fourth proportional to 688,181, 949,689.78 and 386,375 is: 533,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,181 : 949,689.78 = 386,375 : x
  2. Step 2: Convert to fraction form
    688,181/949,689.78 = 386,375/x
  3. Step 3: Cross multiply
    688,181x = 949,689.78 × 386,375
  4. Step 4: Simplify right side
    688,181x = 366,936,388,747.50
  5. Step 5: Solve for x
    x = 366,936,388,747.50/688,181
  6. Step 6: Final answer
    x = 533,197.50

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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.