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Finding the Fourth Proportional to 307,226.72, 461,049.06 and 188,535.80

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Solution

The fourth proportional to 307,226.72, 461,049.06 and 188,535.80 is: 282,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226.72 : 461,049.06 = 188,535.80 : x
  2. Step 2: Convert to fraction form
    307,226.72/461,049.06 = 188,535.80/x
  3. Step 3: Cross multiply
    307,226.72x = 461,049.06 × 188,535.80
  4. Step 4: Simplify right side
    307,226.72x = 86,924,251,061.10
  5. Step 5: Solve for x
    x = 86,924,251,061.10/307,226.72
  6. Step 6: Final answer
    x = 282,931.94

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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.