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Finding the Fourth Proportional to 307,466.70, 461,286.45 and 149,700.30

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Solution

The fourth proportional to 307,466.70, 461,286.45 and 149,700.30 is: 224,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,466.70 : 461,286.45 = 149,700.30 : x
  2. Step 2: Convert to fraction form
    307,466.70/461,286.45 = 149,700.30/x
  3. Step 3: Cross multiply
    307,466.70x = 461,286.45 × 149,700.30
  4. Step 4: Simplify right side
    307,466.70x = 69,054,719,950.94
  5. Step 5: Solve for x
    x = 69,054,719,950.94/307,466.70
  6. Step 6: Final answer
    x = 224,592.52

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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.