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Finding the Fourth Proportional to 283,756.31, 391,586.38 and 156,436.46

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Solution

The fourth proportional to 283,756.31, 391,586.38 and 156,436.46 is: 215,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,756.31 : 391,586.38 = 156,436.46 : x
  2. Step 2: Convert to fraction form
    283,756.31/391,586.38 = 156,436.46/x
  3. Step 3: Cross multiply
    283,756.31x = 391,586.38 × 156,436.46
  4. Step 4: Simplify right side
    283,756.31x = 61,258,386,092.45
  5. Step 5: Solve for x
    x = 61,258,386,092.45/283,756.31
  6. Step 6: Final answer
    x = 215,883.79

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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.