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Finding the Fourth Proportional to 283,905.44, 391,807.44 and 156,581.28

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Solution

The fourth proportional to 283,905.44, 391,807.44 and 156,581.28 is: 216,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,905.44 : 391,807.44 = 156,581.28 : x
  2. Step 2: Convert to fraction form
    283,905.44/391,807.44 = 156,581.28/x
  3. Step 3: Cross multiply
    283,905.44x = 391,807.44 × 156,581.28
  4. Step 4: Simplify right side
    283,905.44x = 61,349,710,468.72
  5. Step 5: Solve for x
    x = 61,349,710,468.72/283,905.44
  6. Step 6: Final answer
    x = 216,092.06

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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.