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Finding the Fourth Proportional to 315,152.66, 434,907.90 and 171,909.63

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Solution

The fourth proportional to 315,152.66, 434,907.90 and 171,909.63 is: 237,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,152.66 : 434,907.90 = 171,909.63 : x
  2. Step 2: Convert to fraction form
    315,152.66/434,907.90 = 171,909.63/x
  3. Step 3: Cross multiply
    315,152.66x = 434,907.90 × 171,909.63
  4. Step 4: Simplify right side
    315,152.66x = 74,764,856,173.08
  5. Step 5: Solve for x
    x = 74,764,856,173.08/315,152.66
  6. Step 6: Final answer
    x = 237,233.78

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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.