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Finding the Fourth Proportional to 461,353.56, 691,698.21 and 283,493.10

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Solution

The fourth proportional to 461,353.56, 691,698.21 and 283,493.10 is: 425,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,353.56 : 691,698.21 = 283,493.10 : x
  2. Step 2: Convert to fraction form
    461,353.56/691,698.21 = 283,493.10/x
  3. Step 3: Cross multiply
    461,353.56x = 691,698.21 × 283,493.10
  4. Step 4: Simplify right side
    461,353.56x = 196,091,669,817.35
  5. Step 5: Solve for x
    x = 196,091,669,817.35/461,353.56
  6. Step 6: Final answer
    x = 425,035.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.