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Finding the Fourth Proportional to 288,434.72, 432,676.68 and 75,230.96

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Solution

The fourth proportional to 288,434.72, 432,676.68 and 75,230.96 is: 112,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,434.72 : 432,676.68 = 75,230.96 : x
  2. Step 2: Convert to fraction form
    288,434.72/432,676.68 = 75,230.96/x
  3. Step 3: Cross multiply
    288,434.72x = 432,676.68 × 75,230.96
  4. Step 4: Simplify right side
    288,434.72x = 32,550,682,006.01
  5. Step 5: Solve for x
    x = 32,550,682,006.01/288,434.72
  6. Step 6: Final answer
    x = 112,852.86

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