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Finding the Fourth Proportional to 289,372.70, 434,059.05 and 194,894.30

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Solution

The fourth proportional to 289,372.70, 434,059.05 and 194,894.30 is: 292,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,372.70 : 434,059.05 = 194,894.30 : x
  2. Step 2: Convert to fraction form
    289,372.70/434,059.05 = 194,894.30/x
  3. Step 3: Cross multiply
    289,372.70x = 434,059.05 × 194,894.30
  4. Step 4: Simplify right side
    289,372.70x = 84,595,634,708.42
  5. Step 5: Solve for x
    x = 84,595,634,708.42/289,372.70
  6. Step 6: Final answer
    x = 292,341.45

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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.