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Finding the Fourth Proportional to 568,414.10, 784,409.64 and 313,763.42

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Solution

The fourth proportional to 568,414.10, 784,409.64 and 313,763.42 is: 432,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,414.10 : 784,409.64 = 313,763.42 : x
  2. Step 2: Convert to fraction form
    568,414.10/784,409.64 = 313,763.42/x
  3. Step 3: Cross multiply
    568,414.10x = 784,409.64 × 313,763.42
  4. Step 4: Simplify right side
    568,414.10x = 246,119,051,327.37
  5. Step 5: Solve for x
    x = 246,119,051,327.37/568,414.10
  6. Step 6: Final answer
    x = 432,992.52

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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.