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Finding the Fourth Proportional to 395,682.77, 593,515.65 and 96,165.02

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Solution

The fourth proportional to 395,682.77, 593,515.65 and 96,165.02 is: 144,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,682.77 : 593,515.65 = 96,165.02 : x
  2. Step 2: Convert to fraction form
    395,682.77/593,515.65 = 96,165.02/x
  3. Step 3: Cross multiply
    395,682.77x = 593,515.65 × 96,165.02
  4. Step 4: Simplify right side
    395,682.77x = 57,075,446,196.97
  5. Step 5: Solve for x
    x = 57,075,446,196.97/395,682.77
  6. Step 6: Final answer
    x = 144,245.47

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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.