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Finding the Fourth Proportional to 433,221.15, 649,840.63 and 133,701.91

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Solution

The fourth proportional to 433,221.15, 649,840.63 and 133,701.91 is: 200,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,221.15 : 649,840.63 = 133,701.91 : x
  2. Step 2: Convert to fraction form
    433,221.15/649,840.63 = 133,701.91/x
  3. Step 3: Cross multiply
    433,221.15x = 649,840.63 × 133,701.91
  4. Step 4: Simplify right side
    433,221.15x = 86,884,933,426.60
  5. Step 5: Solve for x
    x = 86,884,933,426.60/433,221.15
  6. Step 6: Final answer
    x = 200,555.62

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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.