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Finding the Fourth Proportional to 458,043.30, 686,736.90 and 191,666.70

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Solution

The fourth proportional to 458,043.30, 686,736.90 and 191,666.70 is: 287,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,043.30 : 686,736.90 = 191,666.70 : x
  2. Step 2: Convert to fraction form
    458,043.30/686,736.90 = 191,666.70/x
  3. Step 3: Cross multiply
    458,043.30x = 686,736.90 × 191,666.70
  4. Step 4: Simplify right side
    458,043.30x = 131,624,595,391.23
  5. Step 5: Solve for x
    x = 131,624,595,391.23/458,043.30
  6. Step 6: Final answer
    x = 287,362.78

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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.