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Finding the Fourth Proportional to 309,824.80, 464,737.20 and 275,999.20

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Solution

The fourth proportional to 309,824.80, 464,737.20 and 275,999.20 is: 413,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,824.80 : 464,737.20 = 275,999.20 : x
  2. Step 2: Convert to fraction form
    309,824.80/464,737.20 = 275,999.20/x
  3. Step 3: Cross multiply
    309,824.80x = 464,737.20 × 275,999.20
  4. Step 4: Simplify right side
    309,824.80x = 128,267,095,410.24
  5. Step 5: Solve for x
    x = 128,267,095,410.24/309,824.80
  6. Step 6: Final answer
    x = 413,998.80

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1.5x scale

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.