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Finding the Fourth Proportional to 468,029.40, 701,784.90 and 201,744.60

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Solution

The fourth proportional to 468,029.40, 701,784.90 and 201,744.60 is: 302,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,029.40 : 701,784.90 = 201,744.60 : x
  2. Step 2: Convert to fraction form
    468,029.40/701,784.90 = 201,744.60/x
  3. Step 3: Cross multiply
    468,029.40x = 701,784.90 × 201,744.60
  4. Step 4: Simplify right side
    468,029.40x = 141,581,313,936.54
  5. Step 5: Solve for x
    x = 141,581,313,936.54/468,029.40
  6. Step 6: Final answer
    x = 302,505.17

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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.