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Finding the Fourth Proportional to 317,496.26, 476,180.94 and 148,973.24

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Solution

The fourth proportional to 317,496.26, 476,180.94 and 148,973.24 is: 223,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,496.26 : 476,180.94 = 148,973.24 : x
  2. Step 2: Convert to fraction form
    317,496.26/476,180.94 = 148,973.24/x
  3. Step 3: Cross multiply
    317,496.26x = 476,180.94 × 148,973.24
  4. Step 4: Simplify right side
    317,496.26x = 70,938,217,458.05
  5. Step 5: Solve for x
    x = 70,938,217,458.05/317,496.26
  6. Step 6: Final answer
    x = 223,430.09

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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.