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Finding the Fourth Proportional to 591,761.16, 816,589.38 and 333,647.34

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Solution

The fourth proportional to 591,761.16, 816,589.38 and 333,647.34 is: 460,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,761.16 : 816,589.38 = 333,647.34 : x
  2. Step 2: Convert to fraction form
    591,761.16/816,589.38 = 333,647.34/x
  3. Step 3: Cross multiply
    591,761.16x = 816,589.38 × 333,647.34
  4. Step 4: Simplify right side
    591,761.16x = 272,452,872,698.22
  5. Step 5: Solve for x
    x = 272,452,872,698.22/591,761.16
  6. Step 6: Final answer
    x = 460,410.20

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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.