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Finding the Fourth Proportional to 591,424.56, 816,438.34 and 346,375.23

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Solution

The fourth proportional to 591,424.56, 816,438.34 and 346,375.23 is: 478,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,424.56 : 816,438.34 = 346,375.23 : x
  2. Step 2: Convert to fraction form
    591,424.56/816,438.34 = 346,375.23/x
  3. Step 3: Cross multiply
    591,424.56x = 816,438.34 × 346,375.23
  4. Step 4: Simplify right side
    591,424.56x = 282,794,015,169.64
  5. Step 5: Solve for x
    x = 282,794,015,169.64/591,424.56
  6. Step 6: Final answer
    x = 478,157.38

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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.