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Finding the Fourth Proportional to 307,420.80, 461,131.20 and 180,931.20

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Solution

The fourth proportional to 307,420.80, 461,131.20 and 180,931.20 is: 271,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420.80 : 461,131.20 = 180,931.20 : x
  2. Step 2: Convert to fraction form
    307,420.80/461,131.20 = 180,931.20/x
  3. Step 3: Cross multiply
    307,420.80x = 461,131.20 × 180,931.20
  4. Step 4: Simplify right side
    307,420.80x = 83,433,021,373.44
  5. Step 5: Solve for x
    x = 83,433,021,373.44/307,420.80
  6. Step 6: Final answer
    x = 271,396.80

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1.5x scale

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.