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Finding the Fourth Proportional to 389,433.10, 584,149.65 and 202,809.10

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Solution

The fourth proportional to 389,433.10, 584,149.65 and 202,809.10 is: 304,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,433.10 : 584,149.65 = 202,809.10 : x
  2. Step 2: Convert to fraction form
    389,433.10/584,149.65 = 202,809.10/x
  3. Step 3: Cross multiply
    389,433.10x = 584,149.65 × 202,809.10
  4. Step 4: Simplify right side
    389,433.10x = 118,470,864,781.82
  5. Step 5: Solve for x
    x = 118,470,864,781.82/389,433.10
  6. Step 6: Final answer
    x = 304,213.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.