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Finding the Fourth Proportional to 288,872.64, 433,046.51 and 131,014.98

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Solution

The fourth proportional to 288,872.64, 433,046.51 and 131,014.98 is: 196,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,872.64 : 433,046.51 = 131,014.98 : x
  2. Step 2: Convert to fraction form
    288,872.64/433,046.51 = 131,014.98/x
  3. Step 3: Cross multiply
    288,872.64x = 433,046.51 × 131,014.98
  4. Step 4: Simplify right side
    288,872.64x = 56,735,579,846.72
  5. Step 5: Solve for x
    x = 56,735,579,846.72/288,872.64
  6. Step 6: Final answer
    x = 196,403.44

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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.