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Finding the Fourth Proportional to 405,441.46, 559,485.11 and 224,142.53

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Solution

The fourth proportional to 405,441.46, 559,485.11 and 224,142.53 is: 309,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441.46 : 559,485.11 = 224,142.53 : x
  2. Step 2: Convert to fraction form
    405,441.46/559,485.11 = 224,142.53/x
  3. Step 3: Cross multiply
    405,441.46x = 559,485.11 × 224,142.53
  4. Step 4: Simplify right side
    405,441.46x = 125,404,408,052.73
  5. Step 5: Solve for x
    x = 125,404,408,052.73/405,441.46
  6. Step 6: Final answer
    x = 309,303.37

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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.