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Finding the Fourth Proportional to 314,869.20, 441,750 and 314,869.20

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Solution

The fourth proportional to 314,869.20, 441,750 and 314,869.20 is: 441,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,869.20 : 441,750 = 314,869.20 : x
  2. Step 2: Convert to fraction form
    314,869.20/441,750 = 314,869.20/x
  3. Step 3: Cross multiply
    314,869.20x = 441,750 × 314,869.20
  4. Step 4: Simplify right side
    314,869.20x = 139,093,469,100
  5. Step 5: Solve for x
    x = 139,093,469,100/314,869.20
  6. Step 6: Final answer
    x = 441,750

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.