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Finding the Fourth Proportional to 405,704.44, 559,829 and 224,387.56

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Solution

The fourth proportional to 405,704.44, 559,829 and 224,387.56 is: 309,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,704.44 : 559,829 = 224,387.56 : x
  2. Step 2: Convert to fraction form
    405,704.44/559,829 = 224,387.56/x
  3. Step 3: Cross multiply
    405,704.44x = 559,829 × 224,387.56
  4. Step 4: Simplify right side
    405,704.44x = 125,618,663,327.24
  5. Step 5: Solve for x
    x = 125,618,663,327.24/405,704.44
  6. Step 6: Final answer
    x = 309,630.98

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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.