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Finding the Fourth Proportional to 451,667.81, 677,764.19 and 202,349.81

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Solution

The fourth proportional to 451,667.81, 677,764.19 and 202,349.81 is: 303,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,667.81 : 677,764.19 = 202,349.81 : x
  2. Step 2: Convert to fraction form
    451,667.81/677,764.19 = 202,349.81/x
  3. Step 3: Cross multiply
    451,667.81x = 677,764.19 × 202,349.81
  4. Step 4: Simplify right side
    451,667.81x = 137,145,457,271.59
  5. Step 5: Solve for x
    x = 137,145,457,271.59/451,667.81
  6. Step 6: Final answer
    x = 303,642.31

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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.