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Finding the Fourth Proportional to 405,533.88, 559,630.92 and 224,241.84

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Solution

The fourth proportional to 405,533.88, 559,630.92 and 224,241.84 is: 309,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,533.88 : 559,630.92 = 224,241.84 : x
  2. Step 2: Convert to fraction form
    405,533.88/559,630.92 = 224,241.84/x
  3. Step 3: Cross multiply
    405,533.88x = 559,630.92 × 224,241.84
  4. Step 4: Simplify right side
    405,533.88x = 125,492,667,221.69
  5. Step 5: Solve for x
    x = 125,492,667,221.69/405,533.88
  6. Step 6: Final answer
    x = 309,450.51

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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.