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Finding the Fourth Proportional to 568,812.22, 784,893.72 and 314,148.22

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Solution

The fourth proportional to 568,812.22, 784,893.72 and 314,148.22 is: 433,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,812.22 : 784,893.72 = 314,148.22 : x
  2. Step 2: Convert to fraction form
    568,812.22/784,893.72 = 314,148.22/x
  3. Step 3: Cross multiply
    568,812.22x = 784,893.72 × 314,148.22
  4. Step 4: Simplify right side
    568,812.22x = 246,572,965,027.18
  5. Step 5: Solve for x
    x = 246,572,965,027.18/568,812.22
  6. Step 6: Final answer
    x = 433,487.46

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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.