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Finding the Fourth Proportional to 405,511.62, 559,596.11 and 224,218.77

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Solution

The fourth proportional to 405,511.62, 559,596.11 and 224,218.77 is: 309,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,511.62 : 559,596.11 = 224,218.77 : x
  2. Step 2: Convert to fraction form
    405,511.62/559,596.11 = 224,218.77/x
  3. Step 3: Cross multiply
    405,511.62x = 559,596.11 × 224,218.77
  4. Step 4: Simplify right side
    405,511.62x = 125,471,950,359.89
  5. Step 5: Solve for x
    x = 125,471,950,359.89/405,511.62
  6. Step 6: Final answer
    x = 309,416.41

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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.