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Finding the Fourth Proportional to 307,830.20, 461,759.70 and 97,484.60

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Solution

The fourth proportional to 307,830.20, 461,759.70 and 97,484.60 is: 146,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,830.20 : 461,759.70 = 97,484.60 : x
  2. Step 2: Convert to fraction form
    307,830.20/461,759.70 = 97,484.60/x
  3. Step 3: Cross multiply
    307,830.20x = 461,759.70 × 97,484.60
  4. Step 4: Simplify right side
    307,830.20x = 45,014,459,650.62
  5. Step 5: Solve for x
    x = 45,014,459,650.62/307,830.20
  6. Step 6: Final answer
    x = 146,231.46

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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.