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Finding the Fourth Proportional to 513,207.66, 769,854.57 and 189,084

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Solution

The fourth proportional to 513,207.66, 769,854.57 and 189,084 is: 283,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,207.66 : 769,854.57 = 189,084 : x
  2. Step 2: Convert to fraction form
    513,207.66/769,854.57 = 189,084/x
  3. Step 3: Cross multiply
    513,207.66x = 769,854.57 × 189,084
  4. Step 4: Simplify right side
    513,207.66x = 145,567,181,513.88
  5. Step 5: Solve for x
    x = 145,567,181,513.88/513,207.66
  6. Step 6: Final answer
    x = 283,641.87

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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.