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Finding the Fourth Proportional to 289,747.40, 434,102.70 and 178,809.80

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Solution

The fourth proportional to 289,747.40, 434,102.70 and 178,809.80 is: 267,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,747.40 : 434,102.70 = 178,809.80 : x
  2. Step 2: Convert to fraction form
    289,747.40/434,102.70 = 178,809.80/x
  3. Step 3: Cross multiply
    289,747.40x = 434,102.70 × 178,809.80
  4. Step 4: Simplify right side
    289,747.40x = 77,621,816,966.46
  5. Step 5: Solve for x
    x = 77,621,816,966.46/289,747.40
  6. Step 6: Final answer
    x = 267,894.78

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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.