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Finding the Fourth Proportional to 317,794.64, 476,286.66 and 148,942.53

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Solution

The fourth proportional to 317,794.64, 476,286.66 and 148,942.53 is: 223,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,794.64 : 476,286.66 = 148,942.53 : x
  2. Step 2: Convert to fraction form
    317,794.64/476,286.66 = 148,942.53/x
  3. Step 3: Cross multiply
    317,794.64x = 476,286.66 × 148,942.53
  4. Step 4: Simplify right side
    317,794.64x = 70,939,340,145.65
  5. Step 5: Solve for x
    x = 70,939,340,145.65/317,794.64
  6. Step 6: Final answer
    x = 223,223.84

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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.