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Finding the Fourth Proportional to 405,404.08, 559,453.98 and 224,120.62

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Solution

The fourth proportional to 405,404.08, 559,453.98 and 224,120.62 is: 309,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,404.08 : 559,453.98 = 224,120.62 : x
  2. Step 2: Convert to fraction form
    405,404.08/559,453.98 = 224,120.62/x
  3. Step 3: Cross multiply
    405,404.08x = 559,453.98 × 224,120.62
  4. Step 4: Simplify right side
    405,404.08x = 125,385,172,859.07
  5. Step 5: Solve for x
    x = 125,385,172,859.07/405,404.08
  6. Step 6: Final answer
    x = 309,284.44

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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.