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Finding the Fourth Proportional to 514,422, 709,902.72 and 288,072.72

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Solution

The fourth proportional to 514,422, 709,902.72 and 288,072.72 is: 397,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,422 : 709,902.72 = 288,072.72 : x
  2. Step 2: Convert to fraction form
    514,422/709,902.72 = 288,072.72/x
  3. Step 3: Cross multiply
    514,422x = 709,902.72 × 288,072.72
  4. Step 4: Simplify right side
    514,422x = 204,503,607,485.80
  5. Step 5: Solve for x
    x = 204,503,607,485.80/514,422
  6. Step 6: Final answer
    x = 397,540.56

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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.