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Finding the Fourth Proportional to 289,431.70, 433,564.35 and 194,953.30

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Solution

The fourth proportional to 289,431.70, 433,564.35 and 194,953.30 is: 292,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,431.70 : 433,564.35 = 194,953.30 : x
  2. Step 2: Convert to fraction form
    289,431.70/433,564.35 = 194,953.30/x
  3. Step 3: Cross multiply
    289,431.70x = 433,564.35 × 194,953.30
  4. Step 4: Simplify right side
    289,431.70x = 84,524,800,794.86
  5. Step 5: Solve for x
    x = 84,524,800,794.86/289,431.70
  6. Step 6: Final answer
    x = 292,037.12

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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.