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Finding the Fourth Proportional to 557,906.28, 769,906.71 and 316,186.80

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Solution

The fourth proportional to 557,906.28, 769,906.71 and 316,186.80 is: 436,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,906.28 : 769,906.71 = 316,186.80 : x
  2. Step 2: Convert to fraction form
    557,906.28/769,906.71 = 316,186.80/x
  3. Step 3: Cross multiply
    557,906.28x = 769,906.71 × 316,186.80
  4. Step 4: Simplify right side
    557,906.28x = 243,434,338,933.43
  5. Step 5: Solve for x
    x = 243,434,338,933.43/557,906.28
  6. Step 6: Final answer
    x = 436,335.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.