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Finding the Fourth Proportional to 283,639.19, 391,422.08 and 156,314.78

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Solution

The fourth proportional to 283,639.19, 391,422.08 and 156,314.78 is: 215,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,639.19 : 391,422.08 = 156,314.78 : x
  2. Step 2: Convert to fraction form
    283,639.19/391,422.08 = 156,314.78/x
  3. Step 3: Cross multiply
    283,639.19x = 391,422.08 × 156,314.78
  4. Step 4: Simplify right side
    283,639.19x = 61,185,053,583.66
  5. Step 5: Solve for x
    x = 61,185,053,583.66/283,639.19
  6. Step 6: Final answer
    x = 215,714.39

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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.