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Finding the Fourth Proportional to 317,810.46, 476,310.24 and 148,958.28

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Solution

The fourth proportional to 317,810.46, 476,310.24 and 148,958.28 is: 223,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,810.46 : 476,310.24 = 148,958.28 : x
  2. Step 2: Convert to fraction form
    317,810.46/476,310.24 = 148,958.28/x
  3. Step 3: Cross multiply
    317,810.46x = 476,310.24 × 148,958.28
  4. Step 4: Simplify right side
    317,810.46x = 70,950,354,096.79
  5. Step 5: Solve for x
    x = 70,950,354,096.79/317,810.46
  6. Step 6: Final answer
    x = 223,247.38

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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.