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Finding the Fourth Proportional to 307,712.80, 461,569.20 and 293,197.60

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Solution

The fourth proportional to 307,712.80, 461,569.20 and 293,197.60 is: 439,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,712.80 : 461,569.20 = 293,197.60 : x
  2. Step 2: Convert to fraction form
    307,712.80/461,569.20 = 293,197.60/x
  3. Step 3: Cross multiply
    307,712.80x = 461,569.20 × 293,197.60
  4. Step 4: Simplify right side
    307,712.80x = 135,330,981,673.92
  5. Step 5: Solve for x
    x = 135,330,981,673.92/307,712.80
  6. Step 6: Final answer
    x = 439,796.40

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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.