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Finding the Fourth Proportional to 311,594.16, 467,449.32 and 101,175.60

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Solution

The fourth proportional to 311,594.16, 467,449.32 and 101,175.60 is: 151,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,594.16 : 467,449.32 = 101,175.60 : x
  2. Step 2: Convert to fraction form
    311,594.16/467,449.32 = 101,175.60/x
  3. Step 3: Cross multiply
    311,594.16x = 467,449.32 × 101,175.60
  4. Step 4: Simplify right side
    311,594.16x = 47,294,465,420.59
  5. Step 5: Solve for x
    x = 47,294,465,420.59/311,594.16
  6. Step 6: Final answer
    x = 151,782.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.