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Finding the Fourth Proportional to 283,634.10, 391,415.07 and 156,309.70

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Solution

The fourth proportional to 283,634.10, 391,415.07 and 156,309.70 is: 215,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,634.10 : 391,415.07 = 156,309.70 : x
  2. Step 2: Convert to fraction form
    283,634.10/391,415.07 = 156,309.70/x
  3. Step 3: Cross multiply
    283,634.10x = 391,415.07 × 156,309.70
  4. Step 4: Simplify right side
    283,634.10x = 61,181,969,428.56
  5. Step 5: Solve for x
    x = 61,181,969,428.56/283,634.10
  6. Step 6: Final answer
    x = 215,707.38

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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.