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Finding the Fourth Proportional to 433,077.36, 649,805.93 and 205,537.32

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Solution

The fourth proportional to 433,077.36, 649,805.93 and 205,537.32 is: 308,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,077.36 : 649,805.93 = 205,537.32 : x
  2. Step 2: Convert to fraction form
    433,077.36/649,805.93 = 205,537.32/x
  3. Step 3: Cross multiply
    433,077.36x = 649,805.93 × 205,537.32
  4. Step 4: Simplify right side
    433,077.36x = 133,559,369,372.31
  5. Step 5: Solve for x
    x = 133,559,369,372.31/433,077.36
  6. Step 6: Final answer
    x = 308,396.10

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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.