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Finding the Fourth Proportional to 593,257.44, 889,878.72 and 143,982

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Solution

The fourth proportional to 593,257.44, 889,878.72 and 143,982 is: 215,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,257.44 : 889,878.72 = 143,982 : x
  2. Step 2: Convert to fraction form
    593,257.44/889,878.72 = 143,982/x
  3. Step 3: Cross multiply
    593,257.44x = 889,878.72 × 143,982
  4. Step 4: Simplify right side
    593,257.44x = 128,126,517,863.04
  5. Step 5: Solve for x
    x = 128,126,517,863.04/593,257.44
  6. Step 6: Final answer
    x = 215,971.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.