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Finding the Fourth Proportional to 309,912.80, 464,869.20 and 309,912.80

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Solution

The fourth proportional to 309,912.80, 464,869.20 and 309,912.80 is: 464,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.80 : 464,869.20 = 309,912.80 : x
  2. Step 2: Convert to fraction form
    309,912.80/464,869.20 = 309,912.80/x
  3. Step 3: Cross multiply
    309,912.80x = 464,869.20 × 309,912.80
  4. Step 4: Simplify right side
    309,912.80x = 144,068,915,405.76
  5. Step 5: Solve for x
    x = 144,068,915,405.76/309,912.80
  6. Step 6: Final answer
    x = 464,869.20

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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.