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Finding the Fourth Proportional to 307,546.60, 461,276.70 and 97,205.80

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Solution

The fourth proportional to 307,546.60, 461,276.70 and 97,205.80 is: 145,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,546.60 : 461,276.70 = 97,205.80 : x
  2. Step 2: Convert to fraction form
    307,546.60/461,276.70 = 97,205.80/x
  3. Step 3: Cross multiply
    307,546.60x = 461,276.70 × 97,205.80
  4. Step 4: Simplify right side
    307,546.60x = 44,838,770,644.86
  5. Step 5: Solve for x
    x = 44,838,770,644.86/307,546.60
  6. Step 6: Final answer
    x = 145,795.05

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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.