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Finding the Fourth Proportional to 307,465.80, 461,198.70 and 254,977.80

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Solution

The fourth proportional to 307,465.80, 461,198.70 and 254,977.80 is: 382,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,465.80 : 461,198.70 = 254,977.80 : x
  2. Step 2: Convert to fraction form
    307,465.80/461,198.70 = 254,977.80/x
  3. Step 3: Cross multiply
    307,465.80x = 461,198.70 × 254,977.80
  4. Step 4: Simplify right side
    307,465.80x = 117,595,429,888.86
  5. Step 5: Solve for x
    x = 117,595,429,888.86/307,465.80
  6. Step 6: Final answer
    x = 382,466.70

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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.