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Finding the Fourth Proportional to 541,690.82, 812,038.65 and 186,620.42

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Solution

The fourth proportional to 541,690.82, 812,038.65 and 186,620.42 is: 279,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,690.82 : 812,038.65 = 186,620.42 : x
  2. Step 2: Convert to fraction form
    541,690.82/812,038.65 = 186,620.42/x
  3. Step 3: Cross multiply
    541,690.82x = 812,038.65 × 186,620.42
  4. Step 4: Simplify right side
    541,690.82x = 151,542,993,919.23
  5. Step 5: Solve for x
    x = 151,542,993,919.23/541,690.82
  6. Step 6: Final answer
    x = 279,759.21

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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.