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Finding the Fourth Proportional to 568,220.16, 784,148.40 and 310,099.14

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Solution

The fourth proportional to 568,220.16, 784,148.40 and 310,099.14 is: 427,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,220.16 : 784,148.40 = 310,099.14 : x
  2. Step 2: Convert to fraction form
    568,220.16/784,148.40 = 310,099.14/x
  3. Step 3: Cross multiply
    568,220.16x = 784,148.40 × 310,099.14
  4. Step 4: Simplify right side
    568,220.16x = 243,163,744,472.38
  5. Step 5: Solve for x
    x = 243,163,744,472.38/568,220.16
  6. Step 6: Final answer
    x = 427,939.31

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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.