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Finding the Fourth Proportional to 436,202.56, 601,991.22 and 266,468.68

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Solution

The fourth proportional to 436,202.56, 601,991.22 and 266,468.68 is: 367,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,202.56 : 601,991.22 = 266,468.68 : x
  2. Step 2: Convert to fraction form
    436,202.56/601,991.22 = 266,468.68/x
  3. Step 3: Cross multiply
    436,202.56x = 601,991.22 × 266,468.68
  4. Step 4: Simplify right side
    436,202.56x = 160,411,805,764.99
  5. Step 5: Solve for x
    x = 160,411,805,764.99/436,202.56
  6. Step 6: Final answer
    x = 367,746.14

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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.