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Finding the Fourth Proportional to 565,842.09, 849,137.03 and 266,408.30

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Solution

The fourth proportional to 565,842.09, 849,137.03 and 266,408.30 is: 399,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,842.09 : 849,137.03 = 266,408.30 : x
  2. Step 2: Convert to fraction form
    565,842.09/849,137.03 = 266,408.30/x
  3. Step 3: Cross multiply
    565,842.09x = 849,137.03 × 266,408.30
  4. Step 4: Simplify right side
    565,842.09x = 226,217,151,234.92
  5. Step 5: Solve for x
    x = 226,217,151,234.92/565,842.09
  6. Step 6: Final answer
    x = 399,788.49

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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.