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Finding the Fourth Proportional to 405,549.69, 559,662.20 and 224,273.82

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Solution

The fourth proportional to 405,549.69, 559,662.20 and 224,273.82 is: 309,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,549.69 : 559,662.20 = 224,273.82 : x
  2. Step 2: Convert to fraction form
    405,549.69/559,662.20 = 224,273.82/x
  3. Step 3: Cross multiply
    405,549.69x = 559,662.20 × 224,273.82
  4. Step 4: Simplify right side
    405,549.69x = 125,517,580,064.29
  5. Step 5: Solve for x
    x = 125,517,580,064.29/405,549.69
  6. Step 6: Final answer
    x = 309,499.88

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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.