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Finding the Fourth Proportional to 433,046.94, 649,657.89 and 180,346.38

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Solution

The fourth proportional to 433,046.94, 649,657.89 and 180,346.38 is: 270,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,046.94 : 649,657.89 = 180,346.38 : x
  2. Step 2: Convert to fraction form
    433,046.94/649,657.89 = 180,346.38/x
  3. Step 3: Cross multiply
    433,046.94x = 649,657.89 × 180,346.38
  4. Step 4: Simplify right side
    433,046.94x = 117,163,448,699.94
  5. Step 5: Solve for x
    x = 117,163,448,699.94/433,046.94
  6. Step 6: Final answer
    x = 270,556.00

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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.