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Finding the Fourth Proportional to 433,540.53, 649,769.13 and 208,859.07

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Solution

The fourth proportional to 433,540.53, 649,769.13 and 208,859.07 is: 313,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,540.53 : 649,769.13 = 208,859.07 : x
  2. Step 2: Convert to fraction form
    433,540.53/649,769.13 = 208,859.07/x
  3. Step 3: Cross multiply
    433,540.53x = 649,769.13 × 208,859.07
  4. Step 4: Simplify right side
    433,540.53x = 135,710,176,206.51
  5. Step 5: Solve for x
    x = 135,710,176,206.51/433,540.53
  6. Step 6: Final answer
    x = 313,027.66

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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.