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Finding the Fourth Proportional to 317,666.24, 476,359.47 and 149,234.43

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Solution

The fourth proportional to 317,666.24, 476,359.47 and 149,234.43 is: 223,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,666.24 : 476,359.47 = 149,234.43 : x
  2. Step 2: Convert to fraction form
    317,666.24/476,359.47 = 149,234.43/x
  3. Step 3: Cross multiply
    317,666.24x = 476,359.47 × 149,234.43
  4. Step 4: Simplify right side
    317,666.24x = 71,089,233,980.55
  5. Step 5: Solve for x
    x = 71,089,233,980.55/317,666.24
  6. Step 6: Final answer
    x = 223,785.93

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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.