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Finding the Fourth Proportional to 405,449.45, 559,496.16 and 224,150.54

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Solution

The fourth proportional to 405,449.45, 559,496.16 and 224,150.54 is: 309,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,449.45 : 559,496.16 = 224,150.54 : x
  2. Step 2: Convert to fraction form
    405,449.45/559,496.16 = 224,150.54/x
  3. Step 3: Cross multiply
    405,449.45x = 559,496.16 × 224,150.54
  4. Step 4: Simplify right side
    405,449.45x = 125,411,366,391.93
  5. Step 5: Solve for x
    x = 125,411,366,391.93/405,449.45
  6. Step 6: Final answer
    x = 309,314.43

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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.