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Finding the Fourth Proportional to 564,757.14, 847,136.01 and 354,542.70

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Solution

The fourth proportional to 564,757.14, 847,136.01 and 354,542.70 is: 531,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,757.14 : 847,136.01 = 354,542.70 : x
  2. Step 2: Convert to fraction form
    564,757.14/847,136.01 = 354,542.70/x
  3. Step 3: Cross multiply
    564,757.14x = 847,136.01 × 354,542.70
  4. Step 4: Simplify right side
    564,757.14x = 300,345,888,252.63
  5. Step 5: Solve for x
    x = 300,345,888,252.63/564,757.14
  6. Step 6: Final answer
    x = 531,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.