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Finding the Fourth Proportional to 288,408.84, 432,488.44 and 119,813.68

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Solution

The fourth proportional to 288,408.84, 432,488.44 and 119,813.68 is: 179,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,408.84 : 432,488.44 = 119,813.68 : x
  2. Step 2: Convert to fraction form
    288,408.84/432,488.44 = 119,813.68/x
  3. Step 3: Cross multiply
    288,408.84x = 432,488.44 × 119,813.68
  4. Step 4: Simplify right side
    288,408.84x = 51,818,031,553.86
  5. Step 5: Solve for x
    x = 51,818,031,553.86/288,408.84
  6. Step 6: Final answer
    x = 179,668.67

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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.