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Finding the Fourth Proportional to 289,425.40, 434,138.10 and 209,591.80

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Solution

The fourth proportional to 289,425.40, 434,138.10 and 209,591.80 is: 314,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,425.40 : 434,138.10 = 209,591.80 : x
  2. Step 2: Convert to fraction form
    289,425.40/434,138.10 = 209,591.80/x
  3. Step 3: Cross multiply
    289,425.40x = 434,138.10 × 209,591.80
  4. Step 4: Simplify right side
    289,425.40x = 90,991,785,827.58
  5. Step 5: Solve for x
    x = 90,991,785,827.58/289,425.40
  6. Step 6: Final answer
    x = 314,387.70

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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.