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Finding the Fourth Proportional to 435,570.12, 653,216.88 and 140,013

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Solution

The fourth proportional to 435,570.12, 653,216.88 and 140,013 is: 209,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,570.12 : 653,216.88 = 140,013 : x
  2. Step 2: Convert to fraction form
    435,570.12/653,216.88 = 140,013/x
  3. Step 3: Cross multiply
    435,570.12x = 653,216.88 × 140,013
  4. Step 4: Simplify right side
    435,570.12x = 91,458,855,019.44
  5. Step 5: Solve for x
    x = 91,458,855,019.44/435,570.12
  6. Step 6: Final answer
    x = 209,975.04

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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.