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Finding the Fourth Proportional to 433,951.38, 650,931.39 and 209,259.54

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Solution

The fourth proportional to 433,951.38, 650,931.39 and 209,259.54 is: 313,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,951.38 : 650,931.39 = 209,259.54 : x
  2. Step 2: Convert to fraction form
    433,951.38/650,931.39 = 209,259.54/x
  3. Step 3: Cross multiply
    433,951.38x = 650,931.39 × 209,259.54
  4. Step 4: Simplify right side
    433,951.38x = 136,213,603,242.96
  5. Step 5: Solve for x
    x = 136,213,603,242.96/433,951.38
  6. Step 6: Final answer
    x = 313,891.39

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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.