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Finding the Fourth Proportional to 533,033.38, 735,563.91 and 291,324.30

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Solution

The fourth proportional to 533,033.38, 735,563.91 and 291,324.30 is: 402,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,033.38 : 735,563.91 = 291,324.30 : x
  2. Step 2: Convert to fraction form
    533,033.38/735,563.91 = 291,324.30/x
  3. Step 3: Cross multiply
    533,033.38x = 735,563.91 × 291,324.30
  4. Step 4: Simplify right side
    533,033.38x = 214,287,641,186.01
  5. Step 5: Solve for x
    x = 214,287,641,186.01/533,033.38
  6. Step 6: Final answer
    x = 402,015.43

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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.