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Finding the Fourth Proportional to 320,198.40, 441,874.50 and 175,006.51

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Solution

The fourth proportional to 320,198.40, 441,874.50 and 175,006.51 is: 241,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,198.40 : 441,874.50 = 175,006.51 : x
  2. Step 2: Convert to fraction form
    320,198.40/441,874.50 = 175,006.51/x
  3. Step 3: Cross multiply
    320,198.40x = 441,874.50 × 175,006.51
  4. Step 4: Simplify right side
    320,198.40x = 77,330,915,311.61
  5. Step 5: Solve for x
    x = 77,330,915,311.61/320,198.40
  6. Step 6: Final answer
    x = 241,509.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.