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Finding the Fourth Proportional to 433,662.84, 650,120.04 and 208,713.79

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Solution

The fourth proportional to 433,662.84, 650,120.04 and 208,713.79 is: 312,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,662.84 : 650,120.04 = 208,713.79 : x
  2. Step 2: Convert to fraction form
    433,662.84/650,120.04 = 208,713.79/x
  3. Step 3: Cross multiply
    433,662.84x = 650,120.04 × 208,713.79
  4. Step 4: Simplify right side
    433,662.84x = 135,689,017,503.35
  5. Step 5: Solve for x
    x = 135,689,017,503.35/433,662.84
  6. Step 6: Final answer
    x = 312,890.58

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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.