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Finding the Fourth Proportional to 315,522.26, 435,438.36 and 172,295.60

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Solution

The fourth proportional to 315,522.26, 435,438.36 and 172,295.60 is: 237,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,522.26 : 435,438.36 = 172,295.60 : x
  2. Step 2: Convert to fraction form
    315,522.26/435,438.36 = 172,295.60/x
  3. Step 3: Cross multiply
    315,522.26x = 435,438.36 × 172,295.60
  4. Step 4: Simplify right side
    315,522.26x = 75,024,113,499.22
  5. Step 5: Solve for x
    x = 75,024,113,499.22/315,522.26
  6. Step 6: Final answer
    x = 237,777.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.