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Finding the Fourth Proportional to 543,451.94, 749,982.81 and 301,738.22

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Solution

The fourth proportional to 543,451.94, 749,982.81 and 301,738.22 is: 416,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,451.94 : 749,982.81 = 301,738.22 : x
  2. Step 2: Convert to fraction form
    543,451.94/749,982.81 = 301,738.22/x
  3. Step 3: Cross multiply
    543,451.94x = 749,982.81 × 301,738.22
  4. Step 4: Simplify right side
    543,451.94x = 226,298,474,370.08
  5. Step 5: Solve for x
    x = 226,298,474,370.08/543,451.94
  6. Step 6: Final answer
    x = 416,409.36

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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.