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Finding the Fourth Proportional to 420,902.20, 631,353.30 and 420,902.20

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Solution

The fourth proportional to 420,902.20, 631,353.30 and 420,902.20 is: 631,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,902.20 : 631,353.30 = 420,902.20 : x
  2. Step 2: Convert to fraction form
    420,902.20/631,353.30 = 420,902.20/x
  3. Step 3: Cross multiply
    420,902.20x = 631,353.30 × 420,902.20
  4. Step 4: Simplify right side
    420,902.20x = 265,737,992,947.26
  5. Step 5: Solve for x
    x = 265,737,992,947.26/420,902.20
  6. Step 6: Final answer
    x = 631,353.30

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Why These Related Problems?

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