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Finding the Fourth Proportional to 410,995.50, 616,493.25 and 115,507.50

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Solution

The fourth proportional to 410,995.50, 616,493.25 and 115,507.50 is: 173,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,995.50 : 616,493.25 = 115,507.50 : x
  2. Step 2: Convert to fraction form
    410,995.50/616,493.25 = 115,507.50/x
  3. Step 3: Cross multiply
    410,995.50x = 616,493.25 × 115,507.50
  4. Step 4: Simplify right side
    410,995.50x = 71,209,594,074.38
  5. Step 5: Solve for x
    x = 71,209,594,074.38/410,995.50
  6. Step 6: Final answer
    x = 173,261.25

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