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Finding the Fourth Proportional to 405,371.97, 559,405.08 and 224,091.54

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Solution

The fourth proportional to 405,371.97, 559,405.08 and 224,091.54 is: 309,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.97 : 559,405.08 = 224,091.54 : x
  2. Step 2: Convert to fraction form
    405,371.97/559,405.08 = 224,091.54/x
  3. Step 3: Cross multiply
    405,371.97x = 559,405.08 × 224,091.54
  4. Step 4: Simplify right side
    405,371.97x = 125,357,945,861.02
  5. Step 5: Solve for x
    x = 125,357,945,861.02/405,371.97
  6. Step 6: Final answer
    x = 309,241.77

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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.