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Finding the Fourth Proportional to 405,499.92, 559,565.82 and 224,197.62

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Solution

The fourth proportional to 405,499.92, 559,565.82 and 224,197.62 is: 309,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,499.92 : 559,565.82 = 224,197.62 : x
  2. Step 2: Convert to fraction form
    405,499.92/559,565.82 = 224,197.62/x
  3. Step 3: Cross multiply
    405,499.92x = 559,565.82 × 224,197.62
  4. Step 4: Simplify right side
    405,499.92x = 125,453,325,077.35
  5. Step 5: Solve for x
    x = 125,453,325,077.35/405,499.92
  6. Step 6: Final answer
    x = 309,379.41

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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.