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Finding the Fourth Proportional to 283,853.88, 391,710 and 156,529.44

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Solution

The fourth proportional to 283,853.88, 391,710 and 156,529.44 is: 216,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,853.88 : 391,710 = 156,529.44 : x
  2. Step 2: Convert to fraction form
    283,853.88/391,710 = 156,529.44/x
  3. Step 3: Cross multiply
    283,853.88x = 391,710 × 156,529.44
  4. Step 4: Simplify right side
    283,853.88x = 61,314,146,942.40
  5. Step 5: Solve for x
    x = 61,314,146,942.40/283,853.88
  6. Step 6: Final answer
    x = 216,006.02

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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.