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Finding the Fourth Proportional to 405,550.19, 559,662.90 and 224,274.32

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Solution

The fourth proportional to 405,550.19, 559,662.90 and 224,274.32 is: 309,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,550.19 : 559,662.90 = 224,274.32 : x
  2. Step 2: Convert to fraction form
    405,550.19/559,662.90 = 224,274.32/x
  3. Step 3: Cross multiply
    405,550.19x = 559,662.90 × 224,274.32
  4. Step 4: Simplify right side
    405,550.19x = 125,518,016,326.73
  5. Step 5: Solve for x
    x = 125,518,016,326.73/405,550.19
  6. Step 6: Final answer
    x = 309,500.57

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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.