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Finding the Fourth Proportional to 288,675.36, 433,003.32 and 101,682

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Solution

The fourth proportional to 288,675.36, 433,003.32 and 101,682 is: 152,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,675.36 : 433,003.32 = 101,682 : x
  2. Step 2: Convert to fraction form
    288,675.36/433,003.32 = 101,682/x
  3. Step 3: Cross multiply
    288,675.36x = 433,003.32 × 101,682
  4. Step 4: Simplify right side
    288,675.36x = 44,028,643,584.24
  5. Step 5: Solve for x
    x = 44,028,643,584.24/288,675.36
  6. Step 6: Final answer
    x = 152,519.58

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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.