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Finding the Fourth Proportional to 433,223.15, 649,843.63 and 133,703.91

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Solution

The fourth proportional to 433,223.15, 649,843.63 and 133,703.91 is: 200,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,223.15 : 649,843.63 = 133,703.91 : x
  2. Step 2: Convert to fraction form
    433,223.15/649,843.63 = 133,703.91/x
  3. Step 3: Cross multiply
    433,223.15x = 649,843.63 × 133,703.91
  4. Step 4: Simplify right side
    433,223.15x = 86,886,634,219.59
  5. Step 5: Solve for x
    x = 86,886,634,219.59/433,223.15
  6. Step 6: Final answer
    x = 200,558.61

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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.