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Finding the Fourth Proportional to 412,704.90, 569,650.86 and 243,037.44

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Solution

The fourth proportional to 412,704.90, 569,650.86 and 243,037.44 is: 335,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,704.90 : 569,650.86 = 243,037.44 : x
  2. Step 2: Convert to fraction form
    412,704.90/569,650.86 = 243,037.44/x
  3. Step 3: Cross multiply
    412,704.90x = 569,650.86 × 243,037.44
  4. Step 4: Simplify right side
    412,704.90x = 138,446,486,708.20
  5. Step 5: Solve for x
    x = 138,446,486,708.20/412,704.90
  6. Step 6: Final answer
    x = 335,461.21

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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.