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Finding the Fourth Proportional to 289,371.80, 434,057.70 and 194,893.40

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Solution

The fourth proportional to 289,371.80, 434,057.70 and 194,893.40 is: 292,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,371.80 : 434,057.70 = 194,893.40 : x
  2. Step 2: Convert to fraction form
    289,371.80/434,057.70 = 194,893.40/x
  3. Step 3: Cross multiply
    289,371.80x = 434,057.70 × 194,893.40
  4. Step 4: Simplify right side
    289,371.80x = 84,594,980,949.18
  5. Step 5: Solve for x
    x = 84,594,980,949.18/289,371.80
  6. Step 6: Final answer
    x = 292,340.10

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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.