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Finding the Fourth Proportional to 405,354.10, 559,388.78 and 221,593.48

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Solution

The fourth proportional to 405,354.10, 559,388.78 and 221,593.48 is: 305,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,354.10 : 559,388.78 = 221,593.48 : x
  2. Step 2: Convert to fraction form
    405,354.10/559,388.78 = 221,593.48/x
  3. Step 3: Cross multiply
    405,354.10x = 559,388.78 × 221,593.48
  4. Step 4: Simplify right side
    405,354.10x = 123,956,906,433.15
  5. Step 5: Solve for x
    x = 123,956,906,433.15/405,354.10
  6. Step 6: Final answer
    x = 305,799.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.