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Finding the Fourth Proportional to 317,494.26, 476,177.94 and 148,971.24

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Solution

The fourth proportional to 317,494.26, 476,177.94 and 148,971.24 is: 223,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,494.26 : 476,177.94 = 148,971.24 : x
  2. Step 2: Convert to fraction form
    317,494.26/476,177.94 = 148,971.24/x
  3. Step 3: Cross multiply
    317,494.26x = 476,177.94 × 148,971.24
  4. Step 4: Simplify right side
    317,494.26x = 70,936,818,182.45
  5. Step 5: Solve for x
    x = 70,936,818,182.45/317,494.26
  6. Step 6: Final answer
    x = 223,427.09

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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.