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Finding the Fourth Proportional to 568,164, 784,035.44 and 313,465.44

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Solution

The fourth proportional to 568,164, 784,035.44 and 313,465.44 is: 432,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,164 : 784,035.44 = 313,465.44 : x
  2. Step 2: Convert to fraction form
    568,164/784,035.44 = 313,465.44/x
  3. Step 3: Cross multiply
    568,164x = 784,035.44 × 313,465.44
  4. Step 4: Simplify right side
    568,164x = 245,768,014,175.19
  5. Step 5: Solve for x
    x = 245,768,014,175.19/568,164
  6. Step 6: Final answer
    x = 432,565.27

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