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Finding the Fourth Proportional to 307,983.60, 461,932.20 and 97,642.80

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Solution

The fourth proportional to 307,983.60, 461,932.20 and 97,642.80 is: 146,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,983.60 : 461,932.20 = 97,642.80 : x
  2. Step 2: Convert to fraction form
    307,983.60/461,932.20 = 97,642.80/x
  3. Step 3: Cross multiply
    307,983.60x = 461,932.20 × 97,642.80
  4. Step 4: Simplify right side
    307,983.60x = 45,104,353,418.16
  5. Step 5: Solve for x
    x = 45,104,353,418.16/307,983.60
  6. Step 6: Final answer
    x = 146,450.50

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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.