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Finding the Fourth Proportional to 433,646.33, 650,192.00 and 208,558.46

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Solution

The fourth proportional to 433,646.33, 650,192.00 and 208,558.46 is: 312,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,646.33 : 650,192.00 = 208,558.46 : x
  2. Step 2: Convert to fraction form
    433,646.33/650,192.00 = 208,558.46/x
  3. Step 3: Cross multiply
    433,646.33x = 650,192.00 × 208,558.46
  4. Step 4: Simplify right side
    433,646.33x = 135,603,042,807.01
  5. Step 5: Solve for x
    x = 135,603,042,807.01/433,646.33
  6. Step 6: Final answer
    x = 312,704.24

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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.