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Finding the Fourth Proportional to 317,740.14, 476,379.42 and 149,173.74

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Solution

The fourth proportional to 317,740.14, 476,379.42 and 149,173.74 is: 223,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,740.14 : 476,379.42 = 149,173.74 : x
  2. Step 2: Convert to fraction form
    317,740.14/476,379.42 = 149,173.74/x
  3. Step 3: Cross multiply
    317,740.14x = 476,379.42 × 149,173.74
  4. Step 4: Simplify right side
    317,740.14x = 71,063,299,740.43
  5. Step 5: Solve for x
    x = 71,063,299,740.43/317,740.14
  6. Step 6: Final answer
    x = 223,652.26

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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.