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Finding the Fourth Proportional to 433,093.30, 649,639.63 and 117,596.50

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Solution

The fourth proportional to 433,093.30, 649,639.63 and 117,596.50 is: 176,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,093.30 : 649,639.63 = 117,596.50 : x
  2. Step 2: Convert to fraction form
    433,093.30/649,639.63 = 117,596.50/x
  3. Step 3: Cross multiply
    433,093.30x = 649,639.63 × 117,596.50
  4. Step 4: Simplify right side
    433,093.30x = 76,395,346,749.30
  5. Step 5: Solve for x
    x = 76,395,346,749.30/433,093.30
  6. Step 6: Final answer
    x = 176,394.66

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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.